Saturday, 28 October 2023

TIME AND WORK

) A alone can finish a piece of work in 12 days and B alone can do it in 15 days. If both 
of them work at it together, how much time will they take to finish it.      20/3 days 

) A and B together can do a piece of work in 12 days, while B alone can finish it in 30 days. In how many days can A alone finish the work?      20 days

) A can do a piece of work in 25 days and B can finish it in 20 days. They work together for 5 days and then A leaves. In how many days will B finish the remaining work?       11 days

) A and B can do it in 12 days, B and C can do it in 15 days while C and A can finish it in 20 days. In how many days will A, B and C finish it, working together ? In how many days will each one of them finish it, working alone ?    30 20,60 days

) A tap A can fill a cistern in 8 hours while tap B can fill it in 4 hours. In how much time will the cistern be filled if in how much time the cistern be filled if both A and B are opened together?       12 hours

) A cistern can be filled by two taps A and B in 12 hours and 16 hours respectively. The full cistern can be emptied by a third tap C in 8 hours. If all the taps are turned on at the same time. In how much time will the empty cistern be filled up completely?       48 hours

) Rajan can do a piece of work in 24 days while Amit can do it in 30 days. In how many days can they complete it, if they work together ? 40/3 days 

) Ravi can do a piece of work in 15 hours while Raman can do it in 12 hours. How long will both take to do it, working together ? 6 hrs 40 mins

) A and B working together can finish a piece of work in 6 days, while A alone can do it in 9 days. How much time will B alone take to finish it ?   18 days 

) Two motor mechanics , Raju and Siraj, working together can overhaul a scooter in 6 hours. Raju alone can do the job in 15 hours. In how many hours can Siraj alone do it ?    10 hours

) A, B and C can do a piece of work in 10 days, 12 days and 15 days respectively. How long will they take to finish it if they work together ?     4 days

) A can do a piece of work in 24 hours, while B alone can do it in 16 hours. If A, B and C working together can finish it in 8 hours. In how many hours can C alone finish the work?  48 hours

) A, B and C working together can finish a piece of work in 8 hours. A alone can do it in 20 hours and B alone can do it in 24 hours. In how many hours will C alone do the same work ?    30 hours 

) A and B can finish a piece of work in 16 days and 12 days respectively. A started the work and worked at it for 2 days. He was joined by B. Find the total time taken to finish the work.      8 days 

) A can do a piece of work in 14 days while B can do it in 21 days. They began together worked at it for 6 days. Then, A fell ill and B had to complete the remaining work alone.  In how many days was the work completed ?    12 days

) A can do 2/3 of a certain work in 16 days and B can do 1/4 of the same work in 3 days. Un how many days can both finish the work, working together ?     8 days 

) A, B and C can do a piece of work in 15,12 and 20 days together. They started the work together, but C left after 2 days. In how many days will the remaining work be completed by A and B .     4 days

) A and B can do a piece of work in 18 days ; B and C can do it in 24 days while C and A can finish it in 36 days. In how many days can A, B and C finish it, if they all work together ?     16 days

) A and B can do a piece of work in 12 days, B and C in 15 days, and C and A in 20 days. How much time will A alone take to finish the job.    30 days

) Pipes A and B can fill an empty tank in 10 hours and 15 hours respectively. If both are opened together in the empty tank, how much time will they take to fill it completely .    6 hours

) Pipe A can fill an empty tank in 5 hours while pipe B can empty the full time in 6 hours. If both are open at the same time in the empty tank. How much time will they take to fill it up completely ?     30 hours

) Three taps A, B and C can fill an overhead tank in 6 hours, 8 hours and 12 hours respectively. How long would it the three taps take to fill the empty tank, if all of them are opened together ?     2 hours 40 minutes

) A cistern has two outlets A and B which can fill it in 12 minutes and 15 minutes respectively. An outlet C can empty the full cistern in 10 minutes. If all the three pipes are opened together in the empty tank, how much time will take to fill the tank completely .     20 minutes

) A pipe can fill a cistern in 9 hours. Due to a leak in its bottom, the cistern fills up in 10 hours. If the cistern is full , in how much time will it be emptied by the leak.    90 hours

) pipes A can fill a cistern in 6 hours and pipe B can fill it in 8 hours. Both the pipes are opened and after 2 hours, pipe A is closed. How much time will B take to fill the remaining part of the tank ?     3 hrs 20 mins

) A alone can do a piece of work in 10 days and B can do it in 15 days. In how many days A and B together do the same work ?
a) 5 days b) 6 days c) 8 days d) 9 days 

) A man can do a piece of work in 5 days. He and his son working together can finish it in 3 days. In how many days can the son do it alone.
a) 13/2 days b) 7 days c) 15/2 days d) 8 days

) A can do a job in 16 days and B can do the same job in 12 days. With the help of C they can finish the job in 6 days only. Then , C alone can finish it in
a) 34 days b) 22 days c) 36 days d) 48 days 

) To complete a work. A takes 50% more time then B. If together they take 18 days to complete the work. How much time shall B take to do it ?
a) 30 days b) 35 days c) 40 days d) 45 days 

) A work twice as fast as B. If both of them can together finish a piece of work in 12 days, then B alone can do it in
a) 24 days b) 27 days c) 36 days d) 48 days

) A alone can finish a piece of work in 10 days which B alone can do it in 15 days. If they work together finish it, then out of total wages of ₹3000, A will get
a) 1200 b) 1500 c) 1800 d) 2000

) The ratio of the working of A and B are in the ratio 3:4. The number of days taken by them to finish the work are in the ratio 
a) 3:4 b) 9: 16 c) 4 : 3 d) 16: 9

) A and B together can do a piece of work in 12 days; B and C can do it in 20 days while C and A can do it in 15 days. A, B, C all working together can do it in
a)  6 days b) 9 days c) 10 days d) 21/2 days 

) three men or 5 women can do a work in 12 days. How long will six men and five women take to do it?
a) 6 days b) 5 days c) four days d) three days 

) A can do a piece of work in 15 days. B is 50% more efficient than A. B can finish it in
a) 10 days b) 15/2 days c) 12 days d) 21/2 

) A does 20% less work than B. if A can finish a piece of work in 15/22 hour, then B can finish it in
a) 5 hours b) 11/2 hour c) 6 hours d) 13/2 hours 

) A can do a piece of work in 20 days which B alone can do in 12 days. B worked at it for 9 days. A can finish the remaining work in 
a) 3 days b)  5 days c) 7 days d) 11 days

) A can do a piece of work in in 25 days, which B alone can do in 20 days. A started the work and was joined by B after 10 days. The work lasted for 
a) 25/2 days b) 15 days c) 50/3 days d) 14 days

) 2 pipes can fill a tank in 20 minutes and 30 minutes respectively. If both the pipes are opened simultaneously, then the tank will be filled in 
a) 10 mins b) 12 minutes c) 15 minutes d) 25 minutes

) A tap can fill cistern in 8 hours and another tap can empty the full cistern in 16 hours. If both the taps are open,  the time taken to fill the cistern is
a) 16/3 hours b) 10 hours c) 16 hours d) 20 hours

) A pump can fill a tank in 2 hours. Due to leak in the tank it takes 7/3 hours to fill the tank. The leak can empty the full tank in
a) 7/3 hours  b) 7 hours c) 8 hours d) 14 hours

)  Two pipes can fill a tank in 10 hours and 12 hours respectively, while a third pipe empties the tank in 20 hours. If all the three pipes operates simultaneously, in how much time will the tank be full.
a) 7 hours 15 minutes b)  7 hour 30 minutes c) 7 hours 45 minutes d) 8 hours 

) A can do a piece of work in 10 days while B alone can do it in 15 days. In how many days can both finish the same job ?     6 days 

) A and B can do a piece of work in 15 days; B and C  in 12 days,  C and A in 20 days. How many days will be taken by A,  and B and C working together to finish the work?     10 days

) Tap A can fill a cistern in 8 hours and tap B can empty it in 12 hours. How long will it take to fill the cistern if both of them are opened together.      24 hours

) Two men or three women can do a piece of work in 16 days. In how many days can 4 men and 6 women do the same work ?          4 days

) A pipe can fill a cistern in 9 hours. Due to a leak in its bottom, the system fills up in 10 hours. If the cictern is full, In how much time will it be emltied by the leak.   90 hours 

) The rates of working of two taps A and B are in the ratio 2:3. The ratio of the time taken by A and B respectively to fill a given cistern is
a) 2:3 b) 3:2 c) 4:9 d) 9:4

) A can finish a piece of work in 12 hours while B can finish it in 15 hours. How long will both take to finish it, working together ?
a) 9 hours b) 20/3 hours c) 27/4 d) 25/3 hours 

) A can do a piece of work in 14 days and B is 40% more efficient than A . In how many days can B finish it .   
a) 10 days b) 15/2 days c) 21/4 days d) 28/5 days

) A pump can fill a cistern in 3 hours. Due to leak in the tank it takes 7/3 hours to fill it. The leak can empty the full tank in
a) 7 hours b) 14 hours c) 8 hour d) 3 hours

) A work twice as fast as B. If both of them can together finish the piece of work in 12 hours. then B alone can do it in 
a) 24 hours b) 27 hour c) 36 hour d) 18 hours

) A tap can fill a tank in 6 hours . The part of the tank filled in one hour is ___

) A and B working together can finish a piece of work in 6 hours while A alone can do it in 9 hours. B alone can do it in ____hours.

) A can do a work in 16 hours and B alone can do it in 24 hours. If aA, B and C working together can finish it in 8 hours, then C alone can finish it in____ hours.

) if A's one day's work is 3/20, then A can finish the whole work in _______days.







) Ram can do his work in 15 days. How much work can he do in one day ?  1/15th work 

) Mohan can complete his course in 20 days. What part of the course will be completed in 5 days.      1/4 th part

) If A takes 12 days to finish a work while B takes 15 days to complete the same amount of work then find the number of days both A and B will take if they are working together.     20/3 days

) If A and B can complete a work in 12 days while B takes 15 days to complete the same amount of work then find the number of days A will take to complete the work.   60 days 

) if A can do a work in 12 hours. B can do the same work in 15 hours and C can do the same work in 20 hours , then how many days will they take to complete the work if they work working together ?      5 days

) if A+ B can do a work in 20 days, B + C can do the same piece of work in 24 days and A+C can do the same work in 30 days then how many days working together they can finish the work ?       16 days 

) A can do a piece of work in 80 days. He works for 10 days and then B alone finishes the remaining work in 42 days. In how much time will A and B working together, finish the work ?    30 days

) Riya and Priya can do a piece of work in 9 days and 12 days respectively. If they work for a day alternatively and Riya begins the work first, in how many days the work will be completed ?        41/4 days

) Namitha can make 1/5 jar of pickle in 4 days. whereas Nilu can make 1/5 jar of pickle in 6 days . If they work together how long will they take to make a jar of pickle?    12 days

) If A+ B can do a work in 20 days, B+ C can do the same piece of work in 24 days and A+ C can do the same work in 30 days then in how many days A alone can finish the work ?      48 days

) A trains crosses a 120m bridge with a speed of 36 kmph in 20 seconds then find the length of train.   80m

) Two trains having length 140 m and 160m with their respective speed 36kmph and 54 kmph are moving in opposite direction crosses each other. Find the time taken to cross to each other.   12s

) Two trains of length 200m and 175m crosses each other moving in opposite direction in 15/2 seconds whereas it takes 55/2 seconds to cross each other moving in same direction. Find the speed of the train .      30, 20 m/s

) A thief is spotted by a policeman from a distance of 100 m. When the policeman starts the chase the thief also starts running. If the speed of the thief be 8 kmph and that of the police is 10 kmph, how far the thief will run before he is overtaken ?   400 m

)  Leela  walks at the rate of 5 kmph and reaches his school 7 minutes late, however if he wolks at the rate of 6 kmph he reaches the school 5 minutes before the schedule time. Find the distance Leela covers to reach the school.         6 km

) If two pipes A and B can fill a tank and 12 hours and 15 hours respectively. In how many hours will they fill the tank if both the pipes are opened simultaneously.    20/3 hours

) If pipes A and B can fill a tank in 6 hours while pipe B can fill the tank in 8 hours. Find how many hours will pipe A fill the tank .     24 hours

) 2 pipes can fill the tank in 10 hours and 12 hours respectively. While a third pipe can empty the tank in 20 hours. If all the three pipes are open simultaneously then in how much time will the time be filled ?       7 hours 30 minutes

) workers A takes 8hours to do a job. Worker B takes 10 hours to do a job. How long should it take both A and B, working together to do the same job ?   40/9 hours

) Rajan can do a piece of work in 24 days while Amit can do it in 34 days. In how many days can they complete the work ?    40/3 days

) Tap A fills a tank in 4 hours and tap B fills the tank in 8 hours. How long will it take to fill the tank if both the taps are opened simultaneously .    8/3 days

) If A and B can complete a peace of work in 4 days while A alone can do the same work in 12 days, in how many days can B alone complete the work.    6 days 

) X and Y working together plough a field in 6 days. If X alone can plough the same field in 8 days, how long would Y take to plough the field?    24 days

) A and B be can do a piece of work in 18 days. B and C can do it in 24 days. A and C can do it in 36 days. In how many days will A, B and C complete it, working together?  48,144/5, 144 days 


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