TIME SPEED AND DISTANCE
IN this chapter, we look at problem in the following different areas ::
A) General problems on Time, Speed and Distance.
B) Relative Speed.
C) Boats and Stream.
D) Races and Circular Tracks.
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A) General Problems on Time, Speed and Distance.
SPEED: Distance covered per unit time is called speed.
DISTANCE = Speed x Time
TIME = Distance / Speed.
SPEED= Distance/Time.
NOTES:
* Unit of distance-- Kilometres or Metres or Centimetres
* Unit of time-- Hours or Minutes or Seconds
* Unit of speed-- km/hr or m/sec ..
* Convert:
A) km/hr x 5/18= m/sec
B) m/sec x 18/5= km/sec.
* If two bodies travel with the same speed, Distance covered ∞ time(direct Variation).
* If two bodies travel for the same period of time, Distance covered ∞ speed (Direct Variation).
* If two bodies travel the same distance,
time ∞ 1/speed (inverse Variation)
Distance is normally measured in kilometres, metres or miles; time in hours or seconds and speed in km/h (also denoted by kmph), miles/he (also denoted by mph) or metres/second (denoted by m/s).
** If the ratio of speeds of A and B is a: b then the ratio of the time taken by them to cover the same distance is 1/a : 1/b or b: a
Average speed
Average speed of a body travelling at different speeds is defined as follows:
** Average speed= Total distance travelled/total time taken.
**Note: AVERAGE SPEED of a moving body is NOT EQUAL to the AVERAGE OF THE SPEEDS.
If a body travels from point A to point B with a speed of p and back to point A (from point B) with a speed of q, then the average speed of the body can be calculated as.
** Avg. Speed= 2pq/p+ q)
* If a body covers part of the journey at speed p and the remaining part of the journey at a speed q and the distances of the two parts of the journey are in the ratio m : n, then the average speed for the entire journey is
** (m+ n) PQ/(m q+ np)
EXERCISE-1
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1) Express Speed in km/hr
a) 20 m/s. 72 km/hr
b) 95 m/s. 342 km/hr
c) 25/4 m/s. 22.5 km/hr
e) 30.5 m/s. 109.8 km/hr
f) 1 m/s. 3.6 km/hr
g) 0.5 m/s. 1.8 km/hr
2) Express Speed in m/s
a) 36 Km/hr. 10 m/s
b) 5.4Km/hr. 1.5 m/s
c) 10.8 Km/hr. 3m/s
d) 27 Km/hr. 7.5m/s
3) Express Speed in m/min
a) 36 Km/hr. 600 m/min
b) 5.4Km/hr. 90m/min
c) 10.8 Km/hr. 18m/min
d) Km/hr. 45m/min
4)a) What is the time by Chandu to cover a distance of 360 km by a motorcycle moving at a speed of 10 m/s.
A) 10. B) 5 C) 8 D) 6 E) none
b) If a person around a equilateral triangle shaped field at speed of X, Y, Z kmph and reaches back to his starting point. Then find his average speed during the journey.
c) Rishi, during his journey, travels for 20mins at a speed of 30 km/h, another 30mins at a speed of 50km/h, and 1 hr at a speed of 50 km/h and 1 hr at a speed of 60 km/h. What is the average velocity?
A) 51.18km/h B) 63km/h C) 39km/h D) 48km/h E) 54km/h
d) A car travels from A to B at m km/h, travel back from B to A at n km/h and again back from A to B at n km/h. The average speed of the car is:
e) A is twice as fast as B and B is thrice as fast as C is. The journey covered by C in 54 mins will be covered by B in how much time. 18mins.
f) Sambhu beats Kalu by 30m or 10 seconds. How much time was taken by Sambhu to complete a race 1200.
A) 6m 30sec B) 3m 15sec C) 12m 10sec D) 2m 5sec E) none
5) What is the distance covered by a cyclist in 20 seconds if he is traveling at a speed of 36km/hr.
A) 720 B)18 C) 200. D) 360
6)a) A man travels for 5hrs. 15mins. If he covers the first half of the journey at 60 km/h and the rest at 45 km/h, find the total distance travelled by him.
A) 220 B)250 C) 270. D) 290 E) n
b) A motor car covers a journey in 17.5 hrs, covering half at 30km/h and the second half at 40 km/h. Find the distance of the journey.
A) 684km B) 600km C) 120km D) 540km E) 624 km
7) A car can covers 600 km in 8 hours. If the speed is increased by 20 kmph, how much time does the car take to cover a distance of 800 km ? 8 hrs.
8)a) A person covers a certain distance at a certain speed. If he decreases his speed by 20%, then he takes 16 minutes more to cover the same distance. Find the time taken by him to cover the distance at original speed. 64 mins.
b) Sujit covers a distance in 40 mins if he drives at a speed of 60 km/h on an average. Find the speed at which he must drive at to reduce the time of the journey by 25% ?
A) 60kmph B) 70kmph C) 75kmph. D) 80kmph E) 90kmph
9)a) A car covers a certain distance at a speed of 90 km/hr while going and returns to the starting point at a speed of 60 km/hr by the car. Find the average speed for the whole journey. 72 km/hr
b) Manish travels a certain distance by car at 12km/h and walks back at 3km/h. The whole journey took 5hrs. What is the distance he covered on the car.
A) 12km B) 30km C) 15km D) 6km E) 18km
10) What is the distance covered by cyclist in 20 seconds if he travelling at a speed of 36 kmph ?
A) 720m B) 18m C) 200m D) 360m
11)a) Walking at 3/4 of his normal speed, a man takes 5/2 hrs more than the normal time. Find the normal time.
A) 7.5 B) 6h C) 8h D)12h E) 10h
b) Walking from home at 3/4th of his usual speed, a man reaches his office 20 minutes late. Had the person walked at 4/3 th of his usual speed, find the time taken by the man to his office.
A) 45min B) 90min C) 70min D) 100min
b) If a man started walking from his house at 6/5th of his usual speed, he can reach his office 40 mins early. Find the distance between his house and the office.
A) 24 B) 3 C) 2 D) 1.6 E) can not determined.
12) Ram covers a distance of 100m in a certain time. If he increases his speed to 3 times his original Speed, the time taken reduces by 40 seconds. Find the original time taken (to cover the same distance of 100m).
A) 60 second B) 120 seconds C) 180 seconds D) none
13) A person travels one-third of a certain distance AB at x kmph, one-fourth of the remaining distance at 3x kmph. If his average speed for the entire journey is (x+2) kmph, then find the total distance he covers.
A) 60 km B) 50 km C) 40 km D) cannot determine
14) In a 500m race A beats B by 25m or 5 second, what is A's speed?
A) 48/11 m/s. B) 100/19 m/s C) 94/13 m/s. D) 21/2 m/s
15) Two people Allen and Donald start off to complete a race of distance d km, with speeds of a kmph and b kmph respectively (where b > a). After reaching the halfway mark, Allen picks up speed and both of them reach the finishing post together.
a) What is the Allen's speed after the halfway mark?
A) (2a- b)/ab. B) d/(b- a) C) b+ a D) ab/(2a- b)
b) What is the Allen's average speed over the entire journey?
A) (a +b)/2 kmph B) a² kmph C) b kmph D) a+ b kmph
16)a) A man takes 5 hrs. 45 mins in walking to a certain place and riding back. He would have gained 2 hours by riding both ways. Find the time he would take to walk both ways. 7hrs. 45 mins.
b) Alok walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 6 hrs 45 mins. He would have gained 2 hrs by driving both ways. How long would it have taken for him to walk both ways?
A) 8h 45mins B) 7h 45mins C) 5h 30mins D) 6h 45mins E) none
17) A man covers a distance of 24 km by traveling 3 hrs on cycle and the remaining distance for 4 hrs on foot. Had he travelled 4 hrs on cycle and 3 hrs on foot he would have covered 1 kilometre more. Calculate the cycling speed of the man.
A) 3 B) 4 C) 5 D) 6 E) 3.6
18) A car covers a distance in 13/3 hrs at the rate of 20 kmph. At what speed should the car travel to cover thrice the distance in 13/2 hrs ?
A) 30 B) 40 C) 45 D) 50 E) 35
19) Harsh and Vijay move towards Hosur starting from IIM Bangalore, at 40km/h and 60km/h respectively. If Vijay reaches Hosur 200 mins earlier then Harsh, what is the distance between IIM Bangalore, and Hosur?
A) 600km B) 400km C) 900km D) 200km E) 300km
20) If Arun had walked 1km/h faster, he would have taken 10 mins less to walk 2 kilometre. What is Arun's speed of walking.
A) 1kmph B) 2kmph C) 3kmph D) 6kmph E) none
21) A person travelled a distance of 200 between two cities by a car covering the first quarter of the journey at a constant speed of 40 km/h and the remaining three quarters at a constant speed of x km/h. If the average speed of the person for the entire journey was 53.33 km/h, what is the value of x.
A) 55km/h B) 60km/h C) 70km/h D) 80km/h E) 100km/h
22) A car travels 1/3 of the distance on a straight road with a velocity of 10 km/h, the next 1/3 with a velocity of 20km/h and the last 1/3 with a velocity of 60 km/h. What is the average velocity of the car for the whole journey?
A) 18km/h B) 10km/h C) 20km/h D) 15km/h E) none
23) A and B Travels the same distance at the rate of 8 km and 10 km an hour respectively. if A takes 30 minutes longer than B, the distance travelled by B is ?
A) 6km B) 10km C) 16km D) 20km
24) Vinay runs 100 metres in 20 seconds and Ajay runs the same distance in 25 seconds. By what distance will Vinay beat Ajay in a 100m race.
A) 10m B) 20m C) 25m D) 12m
25) A 500 m race, the ratio of speed of two runners Vinay and Shyam is 3 : 4. If Vinay had start of 140 m then Vinay wins by.
A) 15m B) 20m C) 25m D) 30m
26) If a man started walking from his house at 6/5th of his usual speed, he can reach his office 40 minutes early. Find the distance between his house and the office.
A) 24km B) 3km C) 2Km D) 1.6Km E) cannot be determined
27) A man reduces his speed by 1 kmph, he reaches his office 2 hours late. If he increases speed by 1kmph, he reaches his office 1hour early. Find the usual speed of the man.
A) 3kmph B)4kmph C)5kmph D) 6kmph E) 3.6kmph
28) Thethe average speed of a motorcycle is falls down to 36 kmph due to halting for 12 minutes during every hour of travel. What is the average travelling speed of the motorcyclist ?
A) 54kmph B)27kmph C) 60kmph D) 40kmph E) 45kmph
29) A thief stole a car at a place A. When he had driven it a for 30km, a police car started from A with a speed equal to 20% more than that of the stolen car. At what distance from A was the stolen car caught by the police car?
A) 120km B) 100km C) 150km D) 180km E) 210km
30) Mr. Abraham covers equal distances at speed of 10kmph, 12 kmph, 15kmph respectively. Find his average speed of the entire trip.
A)10kmph B) 8 kmph C) 16 kmph D) 20 kmph E) 12 kmph
31) A man travels 5hrs at a speed of 16 kmph and another 4 hrs at a speed of 20 kmph he reaches his destination in time. He travelled for the first 4hrs at a speed of 16 kmph. At what speed should he travels to cover the remaining distance 1hr earlier ?
A) 20 kmph B) 30 kmph C) 25 kmph D) 28 kmph E) 24 kmph
32) A man covers a distance of 120 km travelling at a speed of x kmph for the first 3 hours and travels the next 7 hours at a speed of y kmph and another 1 hour at a speed of z kmph. Had he travelled for the first 4 hours at x kmph and the next 10 hours at y kmph and 1 hour at z kmph he would have covered 44.5 km more. What total distance does he travel if he travels the first hour at x kmph, the second hour at y kmph and the third hour at z kmph?
A) 20km B) 31km C) 50km D) 28km E) 34km
33) A certain distance was covered by a car by travelling at 60 kmph for a part of the distance and at 45 kmph for the remaining distance. If the distance travelled at the speed of 60 kmph was two-thirds the distance travelled by it at the speed of 45 kmph. Calculate the average speed for the entire journey.
A) 48 kmph B) 42 kmph C) 57 kmph D) 54 kmph E) 50 kmph
34) A worker reaches his work place 20 minutes late by walking at 3 km/hr. The next day he increases his speed by 2km/hr and reaches on time. Find the distance from his house to his work place. 2.5 km
35) A person travelling at 6 kmph reaches his office 15 minutes late. Had he travelled at 8 kmph he would have been 25 minutes early. Find the distance the person has to travel to reach his office. 16km
36) A boy walks from his home to school at 5 kmph, reaches the School 4 minutes early. If he walks from his home to school at 4 kmph, he reaches the school 2 minutes late. Find the time taken by him to school if he walks at 6 kmph.
A) 15mins B) 20mins C) 25mins D) none
37) A man reaches his destination which is 16 kilometer away, 9 minutes late, if he travels at 8 kmph. What should his speed be if he wishes to reach 15 mins ahead of the right time ?
A) 10kmph B) 10/3 m/sec C) 20/9 m/sec D) 12 kmph
38) A person travels a distance AB of 15.625m in 5 seconds in the last 4 seconds, every second he covers a distance equal to one-fourth of the total distance covered upto the end of the previous second. Find the distance covered the 1st second.
A) 6.4m B) 3.125m C) 2.5m D) 5m
39) A stone, allowed to fall under Gravity falls 5t² metres in t seconds. Find the distance travelled by the stone in the last two seconds before it reaches the ground. If the stone from a height of 18 m.
A) 30m B) 60m C) 90m D) none
40) Anwar leaves home everyday at 4 p.m to pick his son from school and returns home at 6 p.m. One day, the school was over at 4 p.m. and the son started walking home from school. Anwar, unaware of this, starts from home as usual and meets his son on the way and returns home with him 15 minutes early. if the speed of Anwar's car is 30 kmph, find the speed of his son.
A) 30/7 kmph B) 3.6 kmph C) 34/5 kmph D) 5.4 kmph
41) Walking at 3/4 of his normal speed, Abhishek is 16 minutes late in reaching his office. The usual time taken by him to cover the distance between his home and his office is
A) 48 minutes B) 60 minutes D) 42 minutes D) 62 minutes E) 66 m
42) Narayana Murthy waking at a speed of 20 km/h reaches his college 10 minutes late. Next time he increases his speed by 5 km/h, but finds that he is still late by 4 minutes. What is the distance of his college from his house.
A) 26km B) 6km C)12km D) 15 km E) none
43) Jai Shree goes to office at a speed of 6km/h and returns to her home at a speed of 4km/h. If she takes 10 hours in all. What is the distance between her office and her home?
A) 24km B) 12km C) 10km D) 30km E) 45km
Continue.......
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If two bodies travel with the same speed, Distance covered α Time (Direct Variation).
-- If two bodies travel for the same period of time, Distance covered α Speed ( Direct Variation).
-- If two bodies travel the same distance, Time α 1/Speed. (Inverse Variation).
Distance is normally in kilometres, metres or miles; time in hours or seconds and speed in km/hr (also denoted by kmph), miles/hr (also denoted by mph) or metres/second ( denoted by m/s).
=> To convert speed in kmph to m/sec, multiply it with 5/18.
=> To convert speed in m/sec to kmph, multiply it with 18/5.
*** In the case of moving trains, three different situations need to be considered.
1) When a train passes a stationary point, the distance covered (in the passing) is the length of the train.
2) If the train is crossing a platform (or a bridge), the distance covered by the train (in the crossing) is equal to the length of the train plus the length of the platform (or bridge).
3) If two trains pass each other ( travelling in the same direction or in opposite directions), the total distance covered (in the crossing or the overtaking, as the case may be) is equal to the sum of the lengths of the two trains.
Exercise -2
1) If a train with a speed of 60 km/hr cross a pole in 30 second. Find the length of the train? 500m
2) A100m long train with a speed of 30km/hr can cross a man in how much time ? 12sec
3) A train running at a 72km/hr crossed a 260m platform in 23 second. Find the length of the train. 200m
4) A 275m long train crosses a platform of equal length in 33 second. Find the speed of the train? 60km/hr
5) A train running at a speed of 60km/hr crosses a platform double of its length in 32.4sec. Find the length of the platform? 360m
6) A train crosses a man with a speed of 72 km/hr in 15sec. Find in how much time it will cross another train which is 50% more long then it if the other train is standing on platform? 75/2sec
7) A train crosses a tunnel half of its length with a speed of 72km/hr in 1 minute, then find in how much time it will cross another train of double length which is standing on platform 60% of its speed? 200sec
8) Two trains of same length can cross a pole in 7 second and 9 second respectively. In how much time they cross each other if they are coming from opposite direction. 63/8 sec
9) Two trains cross a pole in 4 second and 6 second respectively, find in how much time will they cross each other if they are coming from same direction and if the speed of the two trains are in the ratio 7:9. 41sec
10) The speed of two train in the ratio 3:4. Both crosses a pole in 3 second while coming from opposite direction. In how much time they will cross each other ? 3sec
11) A goods train and a passenger train are running in same direction with a speed in the ratio 1:2. The driver of goods train observes that the passanger train coming from behind overtake and crossed his train completely in 60sec. Whereas a passenger on passenger train looks that he cross the goods train in 40sec. Find the ratio of their length. 2:1
12) The ratio of speeds of the goods and passenger train is 7:9 in same direction. if the passenger train crosses the goods train in 60 second, while a passenger in the passenger train observes that he crosses the goods train 35 seconds. Find the ratio of the length of the goods train to passanger train? 7:5
13) A train overtakes a man going along the railway track at a speed of 6km/hr in 10 second if the length of the train is 200 m. Find the speed of the train ? 78km/hr
14) A gun is fired from behind a train the driver of the train hears the sound 3/2 minutes later than guard. Find the length of the train if the speed of train and sounds 60 km/hr and 1100m/min. 150m
15) A train can cross two men going along the railway track at 4 km/hr and 5km/hr in same direction in 10sec and 12 sec. Find the length of train. 50/3m
16) A train pass two person who are walking in opposit in which the train is moving 5 m/sec and 10 m/sec in 6 second and 5 second respectively. Find the length of train. 150m
17) Two trains of length 100m and 80m respectively run on parallel line. If they run in same direction they cross each other in 18 second. but if they are coming from opposite direction they cross each other in 9 sec. Find the speed of faster train. 15km/hr
18) A truck crosses a man moving along the road at 6km/hr. The man could see the truck upto 2 min. Find the speed of truck, at the time of disappearance the distance of the truck to man is 1.2 km ? 42km/hr
19) A carriage driving in a Fog passed a man who was walking at the rate of 3km/hr in same direction. He could see the carries for 4 minutes and it was visible to him up to a distance of 100m. What was the speed of the carriage? 4.5 km/hr
20) A train crosses a man going along the railway track at 6km/hr. The man could see the train up to 2 minute and then find the speed of the train if at the time of disappearance the distance between train to man was 1.2 km? And length of train is 300m? 51 km/hr
21) A man could see 400m during fog when he was moving with 4km/hr, he saw a train coming from behind and disappeared in 3 min if the length of train is 200 m, Find the speed of the train. 24km/hr
22) A car is 120m behind the bus, in how much time it will be 760m ahead of bus if their speed are 48 km/hr and 30 km/hr. 176sec
23) Two trains for Mumbai leave Delhi at 6 a.m. and 6:45 am and travel at 100 km/h and 136 km/h respectively. How many kilometres from Delhi will the two trains be together.
A) 262.4 B) 260 C) 283.33 D) 275 E)none
24) 2) A railway passenger counts the telegraph poles on the rail road as he passes them. The telegraph poles are at a distance of 50m. What will be his count in 4 hours. If the speed of the train is 45km/h.
A)600 B)2500 C)3600 D)5000 E)n
25) Two trains are running on parallel lines in the same direction at speeds of 40 km/hr and 20 km/hr respectively. The faster train crosses a man in the second train in 36 seconds. The length of the faster train is.
A) 200 B) 185 C)225 D) 210
26) Two trains are running in the same direction at speeds of 50 km/hr and 30 km/hr respectively. The faster train crosses a man in the slower train in 18 seconds. Find the length of the faster train is.
A) 0.1km B) 1km C)1.5km D) 1.4
27) Two trains for Howrah leave Muzaffarpur at 8.30 a.m. and 9.00 am respectively and travel at 60 km/h and 70 km/h respectively. How many kilometres from Muzaffarpur will the two trains be together.
A) 210 B) 180 C) 150 D) 120 E) none
28) A man standing on a Railway Bridge which is 180 meter long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the length of the train and its speed. 54kmph
29) Two trains 137m and 163m in length are running towards each other on parallel lines, one at the rate of 42kmph and another at 48 kmph. In what time will they be clear of each other from the moment they meet. 12 second
30) A train running at 54kmph takes 20seconds to pass a platform. Next it takes 12 seconds to pass a man walking at 6 kmph in same direction in which the train is going. Find the length of the train and the length of the platform. 140m
31) Two stations A and B are 110km apart on straight line. One train starts from A at 7a.m and travels towards B at 20kmph. Another train starts from B at 8a.m and travels towards A at a speed of 25kmph. At what time will they meet ? 10a.m
32) A goods train leaves a station at a certain time and at a fixed speed. After 6 hours, an express train leaves the same station and leaves in the same direction at a uniform speed of 90kmph. This train catches the goods train in 4 hours. Find the speed of the goods train. 36kmph
33) A train M leaves Meerut at 5a.m and reaches Delhi at 9a.m. Another train N leaves Delhi at 7 a.m and riches Meerut at 10:30 a m At what time do the two train cross one another? 7.56a.m
34) A train after travelling 50 km. from A meets with an accident and proceeds at 4/5th of the former speed & reaches D 45 minutes late. Had the accident occurred 20 kms, further on, it would have arrived 12 minute sooner. Find the original speed and the distance. 125km.
35) Moving at 5/6th of its usual speed, a train is 10 minutes too late. Find its usual time to cover the journey. 50 min.
36) A Railway Bridge of length 250 m is located 100m away from the end of a railway platform AB of length 325m. A train started from the end A of the platform. In 40 seconds it had crossed a signal post which stands exactly in the middle of the bridge while travelling at a speed of 72kmph. Find its length.
A) 150m B) 225m C) 250m D) 175m E) 200m
37) Train X starts at station A at 10:00 a.m. and reaches station B at 10:00 p.m. on the same day. Another train Y starts from station B at 12 noon and reaches station A at 8.00 p.m. When do they cross each other ?
A) 4:30p.m B) 5:00 p.m. C) 6:00 p.m. D) 3:30 p.m. E) 4:00 p.m.
38) A train travelling at a speed of 45 kmph. simultaneously crosses a cyclist travelling in the same direction at a speed of 5 kmph and a motorcyclist travelling in the opposite direction, if the train crosses the motorcyclist in 4 seconds and the cyclist in 6 seconds, find the speed of the motorcyclist.
A) 10kmph B) 12kmph C) 15 kmph D) 8 kmph E) 20 kmph
39) A train of length 250m crosses a bridge of length 350m in 60 seconds. Then it's speed is reduced by 10%. As a result it crosses a platform in 60 seconds. Find the length of the platform.
A) 290m B) 300m C) 270m C) 330 m E) 360m
40) Ram and Shyam started simultaneously from two different stations towards each other with speeds of x and y kmph respectively. To cross each other. Ram travelled y times the distance travelled by Shyam. If the speed of Ram is 4 kmph, find the speed of Shyam.
A) 16kmlh B) 4kmph C) 2kmph D) 8kmph E) cannot be determined.
41) A man travelling at a speed of 36/7 kmph covers a certain distance in 5/2 hours. If he increases his speed 72/35 kmph, in what time would he cover a distance which is 4/3 times more?
A) 7/3hrs B) 25/6hrs C) 21/4hrs D) 13/2hrs E) 13/3hrs
42) The distance between two stations A and B is 185 km. Two trains from A and B start travelling simultaneously towards each other. a The train from A travelling with speed 50 kmph halted for 6 minutes, before crossing the train from B which is travelling at a speed 45 kmph. After how many hours from the start do they cross each other.
A) 1hr B) 3hrs C) 5hrs D) 4hrs E) 2hrs
43) A train crossed a Telegram post in 12.5 seconds, and crossed a man sitting in another train coming in the opposite direction in 5 seconds. Find the speed of the second train if the length of the first train is 250m.
A) 25m/s B) 30m/s C) 20m/s D) 35m/s E) 40m/s
44) The distance between two station A and B is 180 km. From a station C, which is between A and B, two cars x and y started simultaneously with speeds 11 kmph and 13 kmph towards A and B respectively. After reaching their respective destinations. they immediately turn back towards C. When car x crosses the C and travels an additional 5 km, it crosses the car y. What is the distance between the points A and C?
A) 120km B) 150km C) 80km D) 70km E) 100km
45) A railway passenger counts the Telegraph poles on the rail road as he passes them. The telegraph poles are at a distance of 50m. What will be his count in 4 hours, if the speed of the train is 45km/hr.
A) 600 B) 2500 C) 3600 D) 5000 E) None
46) Two trains A and B start simultaneously in the opposite direction from 2 points A and B and arrive at their destinations 9 and 4 hours respectively after their meeting each other. At what rate does the second train B travel if the first train travels at 89kmph
A) 60kmph B) 100kmph C)120 kmph D) 80kmph E) none
47) A journey of 192km takes 2 hours less by a fast train than by a slow track. If the average speed of the slow train be 16kmph less than that of the first train, what is the average speed of the faster train.
A) 32kmph B) 16kmph C) 12kmph D) 48kmph E) 40kmph
48) A passenger train takes 2 hour less for a journey of 300 km if its speed is increased by 5 kmph over its usual speed. Find the usual speed.
A) 10kmph B) 12kmph C) 20kmph D) 25kmph E) 24kmph
49) A train moves at a constant speed of 120km/hr for 1 km and at 40kmph for the next 1 km. What is the average speed of the train.
A) 48kmph B) 50kmph C) 80kmph D) 72 kmph E) none
50) Two trains for Patna leave Delhi at 6:00 a.m. and 6:45 a.m. and travel at 98kmph and 136kmph respectively. How many kilometres from Delhi will the two trains meets?
A)262 4km B) 260km C) 200km D) none
51) Two trains A and B start from X and Y, Y to X respectively. After passing each other, they take 12 hours and 3 hours to reach Y and X respectively. If train A is moving at the speed of 48km/hr, the speed of train B is.
A) 24km/h B) 22km/hr C) 21 km/hr D) 20jm/hr.
52) X and Y are two stations 600km apart. A train starts from X and moves towards Y at the rate of 25 km/h. Another train starts from Y at the rate of 35 km/h. How far from X they will cross each other.
A) 250km B) 309km C) 450km D) 475km
53) A train requires 7 seconds to pass a pole while it requires 25 second to cross a stationary train which is 378m long. Find the speed of the train.
A) 75.6km/h B) 75.4km/h C) 76.2km/h D) 21km/h
54) Two trains are running on parallel lines in the same direction at speeds of 40kmph and 20jmph respectively. The faster train crosses a man in the second train in 30 seconds. The length of the faster train is
A) 200 m B)185m C) 225m D) 210m
55) Two trains pass each other on parallel lines. Each train is 100m long. When they are going in the same direction, the faster one takes 60 seconds to pass the other completely. If they are going in opposite direction They pass each other completely in 10 seconds. Find the speed of the slower train in kmph?
A) 30kmph B) 42kmph C) 48kmph D) 60jmph
56) Two trains are traveling in the same direction at 50kmph and 30 kmph respectively. The faster train crosses a man in the slower train in 18 seconds. Find the length of the faster train.
A) 0.1km B) 1km C) 1.5km D) 1.4 km
57) Two trains for Howrah leaves Muzaffarpur at 8:30 a.m. and 9:00 a.m. respectively and travels at 60kmph and 70kmph respectively. How many kilometres from Muzaffarpur will the two trains meet ?
A) 210km B) 180km C) 150km D) 120km
58) Without stoppage, a train travels at an average speed of 75 kmph and which stoppage it covers the same distance at an average speed of 60kmph. How many minutes per hours does the train stop ?
A)10 mins B) 12mins C) 14mins D) 18mins
Continue......
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Exercise--3
1) A motorboat went about went downstream for 28 km and immediately returns to the boat twice as long to make the return trip. If the speed of the river flow were twice as high, the trip down steam and back would a take 672 minutes. Find the speed of the boat in still water and the speed of the river flow.
A) 9kmph, 3kmph
B) 9kmph, 6kmph
C) 8kmph, 2kmph
D) 12kmph, 3kmph
2) A Boat sails downstream from A point B, which is 10 km away from A, and then returns to A. If the actual speed of the boat (in still water) is 3 kmph, the trip from A to B takes 8 hour less than that from B to A. What must be the actual speed of the boat for the trip from A to B to take exactly 100 minutes ?
A) 1kmph B) 2kmph C) 3kmph D) 4kmph
3) A boat sails down the river for 10 km and then up the river for 6 km. The speed of the river flow is 1kmph. What should be the minimum speed of the boat for the trip to take a maximum of 4 hours ?
A) 2kmph B) 3kmph C) 4kmph D) 5 kmph
4) A man rows 6kmph in still water. If the river is running at 3 kmph, it takes him 45 minutes to row to a place and back. How far is the place?
A) 1.12km B) 1.25km C) 1.6875km D) 2.5km
5) A boat goes 40km upstream in 8hrs and a distance of 49km downstream in 7hrs. The speed of the boat in still water is.
A) 5kmph B) 5.5 kmph C) 6kmph D) 6.5kmph
6) The speed of the boat in still water is 12kmph and the speed of the stream is 2kmph. A distance of the 8km, going upstream, is covered in
A) 1hr B) 1hr 15min C) 1h12min D) none
7) A boat goes 15 km upstream in 80 minutes. The speed of the stream is 5kmph. The speed of the boat in still water is
A) 16.25kmph B) 16kmph C) 15 kmph D) 17 kmph
8) In a stream, B lies in between A and C such that it is equidistant from both A and C. A boat can go from A to B and back in 6hrs 30 minutes while it goes from A to C in 9hrs. How long would it take to go from A to C in 9hrs. How long would it take to go from C to A ?
A) 3.75hrs B) 4hrs C) 4.25hrs D) 4.5hrs
9) A boat rows 16km upstream and 30km downstream taking 5hrs each time. The velocity of the current.
A) 1.1jmph B) 1.2kmph C) 1.4kmph D) 1.5kmph
10) Vijay can row a certain distance downstream in 6hrs and return the same distance in 9hrs. If the stream flows at the rate of 3 kmph, find the speed of Vijay in still water.
A) 12kmph B) 13kmph C) 14 kmph D) 15 kmph
11) Subbu can row 6kmph in still water. When the river is running at 1.2kmph, it takes him one hour to row to a place and back. How far in the place ?
A) 2.88km B) 2.00 km C) 3.12 km D) 2.76k.
12) A lazy man can row upstream at 16kmph and downstream at 22 kmph. Find the man's rate in still water (in kmph).
A) 19 B) 14 C) 17 D) 18
13) A man can row 30km upstream and 44km downstream in 10 hours. It is also known that he can row 40km upstream and 55 km downstream in 13 hrs. Find the speed of the man in still water.
A) 4kmph B) 6 kmph C) 8 kmph D) 12 kmph
14) In a stream that is running at 2kmph, a man goes 10k upstream and comes back to the starting point in 55 minutes. Find the speed of the man in still water.
A) 20kmph B) 22 kmph C) 24 kmph D) 28 kmph
15) A man goes down stream at x kmph and upsteam at y kmph. The speed of the boat in still water is
A) 0.5(x+y) B) 0.5(x - y) C) (x+y) D) (x - y)
16) A motorboat went down the river for 14km and then up the river for 9km. It took a total of 5 hours for the entire journey. Find the speed of the river flow if the speed of the boat in still water is 5kmph.
A) 1 kmph B) 1.5 kmph C) 2 kmph D) 3 kmph
17) A Motorboat whose speed in still water is 10 kmph went 91km downstream and then returned to its starting point. Calculate the speed of the river flow if the round trip took a total of 20 hours.
A) 3 kmph B) 4 kmph C) 6 kmph D) 8 kmph
18) A Motorboat whose speed in still water is 15kmph goes 30km downstream and comes back in a total 4 hour 30 minutes. Determine the speed of the steam.
A) 2 kmph B) 3 kmph C) 4 kmph D) 5 kmph
19) In a stream running at 2 kmph, a motor boat goes 6 km upstream and back again to the starting point in 33 minutes. Find the speed of The Motorboat in still water. 22 kmph
20) A man can row 40km upstream and 55km downstream 13 hours. A, he can row 30km upstream and 44 km downstream in 10 hours Find the speed of the man in still water and the speed of the current. 3kmph
21) A man rows to a place 48km away and back in 14 hours. He finds that he can row 4km with the stream in the same time as 3 km against the stream. What is the rate of the stream? 1 kmph
22) Ramesh can row a certain distance downstream in 6hrs and return the same distance in 9 hours. If stream flows at 3 kmph, find the speed of Ramesh in still water.
23) A boat goes 40km upstream in 8 h and a distance of 49km downstream in 7h. The speed of the boat in still water.
A) 5 km/hr B) 5.5 km/hr
C) 6 km/hr D) 6.5 km/hr
24) The speed of the boat in still water is 12 km/h and the speed of the stream is 2 km/h. A distance of 8 km, going upstream, is covered in
A)1h B)1h 15m C) 1h 12m D) n
25) A boat goes 15 km upstream in 80 minutes. The speed of the stream is 5 km/hr. The speed of the boat in still water is
A) 16.25 B)16 C)15 D) 17 km/hr
26) A boat rows 16km up the stream and 30 km downstream taking 5 hr each time. The velocity of the current.
A) 1.1km/hr B) 1.2 km/hr
C) 1.4 km/hr. D) 1.5 km/hr
2u) Vijay can row a certain distance downstream in 6hr and return the same distance in 9hr. If the stream flows at the rate of 3 km/hr, find the speed of Vijay in still water.
A) 12km/hr B) 13km/hr
C) 14km/hr D) 15km/hr
MISCELLANEOUS -1
1) A man cover a certain distances with x km/hr and come back with y km/hr. He takes t hrs to go and come back. Find the distance ?
2) A boy goes to school at 3km/hr and return at a speed of 2 km/hr. If he takes 5 hours in all. Find the distance from his village to school.
3) A man travel a certain distance by train at 25km/hr and walk back at 4km/hr. The whole journey took 5 hours 48 minutes, what distance did he travel by train.
4) A man go A certain distance with x km/hr and he comes back with a speed of y km/hr. If he takes t hours more to come back then go. Find the distance.
5) A man cover a certain distance from house to office, if he travel at 30km/hr, then he is late by 10 minutes but if he travel at 40 km/hr then he reaches his office 5mins earlier. Find the distance from home to office.
6) Starting from his house one day, a student walks at 2.5 km/hr and reaches his school 6 mins late. Next day he increases his speed by 1 km/hr and reaches the school 6 minute earlier. How far is the school from his house.
7) A man cover a certain distance by 10 km/hr and becomes 15 mins late. but if he travel the same distance with 12km/hr then he becomes 5 minutes late. find the distance?
8) A man cover a certain distance on scooter and he travel 3 km/hr faster he would have taken 40 minute less. But if he decrease his speed by 2 km/hr then he becomes 40 minutes late. Find the distance.
9) A man cover a certain distance by his car. Had he travels 6 km/hr faster then he takes 4hr less time. But if he drive 6 km/hr slower than he takes 6 hrs more. Find the distance.
10) A man travels a certain distance by his car if he increase his speed 10km/hr then you would take 1 hour less time. but if he further increase his speed 10 km/hr then it takes further the 45 minutes lesser time. Find the distance ?
11) If a man had walk 20 km/hr faster he would have save 1 hour in the distance of 600 km. Find his usual speed ?
12) In a flight of 600km an aircraft slow down due to bad weather, its avg.speed for the trip reduced by 200 km/hr & the time of flight increased by 30 mins. Find the original speed.
13)
MISCELLANEOUS - 2
1(Vinay runs 100 metres in 20 seconds and Ajay runs the same distance in 25 seconds. By what distance will Vinay beat Ajay in a hundred metres race.
A) 10m B)20m C)25m D) 12m
2) In a 500m race, the ratio of speed of two runners Vinay and Shyam is 3:4. If Vinay has a start of 140m then Vinay wins by
A)15m B)20m C)25m D) 30m
3) How many seconds will a caravan 120m long running at the rate 10 m/s take to pass a standing boy.
A)10s B) 12s C) 11s D) 14s
4) A dog is passed by a train in 8 seconds. Find the length of the train if its speed is 36 km/hr.
A) 70m B)80m C) 85m D) 90m
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