TIME AND WORK (C)

EXERCISE -1

1) A can do a piece of work in 6 days and B can do the same work in 12 days. How many days will they take to do it together. 

A) 4 B) 6 C) 8 D) 10

2) A can do a piece of work in 24 days and B can do the same work in 12 days. They work together for 6 days and then B leaves. In how many days, A alone finish the remaining work. 

A) 10 B) 8 C) 6 D) 4

3) A and B can do a piece of work in 10 days, B and C can do the same work together in 12 days, while A and C can do together in 15 days. In how many days will they take to do it together. 

A) 4 B) 6 C) 8 D) 10

4) A can do a piece of work in 10 days and B can do the same work in 16 days. With the help of C, they can do the work in 4 days. In how many days can C do the work alone? 

A) 3 B) 16 C) 3/16 D) 16/3

5) Ram can do a piece of work in 6 days and Shyam can do the same work in 4 days. C started the work, worked at it for 2 days and then was B joined. Find the total time taken to finish the work?

A) 11 B) 12 C) 11/12 D) 12/11

6) A can do a piece of work in 12 days and B can do the same work in 15 days and A, B and C together can complete the work in 5 days. In how many days will C alone finish the work? 

A) 20 B) 15 C) 10 D) 4

7) Together, A and B plough a field in 4 days, B alone finish in 6 days to plough the same field. In how many days A alone plough the field? 

A) 12 B) 15 C) 20 D) none

8) A can do a piece of work in 10 days and B can do the same work in 15 days. How many days will they take to do it together.

A) 6 B) 10 C) 12 D) 15

9) A can do a piece of work in 24 days and B can do the same work in 15 days. They work together for 6 days and then B leaves. In how many days will, A alone finish the remaining work? 

A) 5 B) 42/5 C) 5/42 D) 42

10) A can do three times as much work as B. They together finish a work in 14 days. In how many days can A alone finish the work ? 

A) 3 B) 56 C) 3/56 D) 56/3

11) A can do a piece of work in 6 days and B can do the same work in 8 days. How many days will they take to do it together. 

A) 7 B) 24 C) 7/24 D)  24/7

12) A can do a piece of work in 25 days and B can do the same work in 20 days. They work together for 5 days and then A goes away. In how many days will B complete the remaining work? 

A) 12 B) 10 C) 24 D) 4

13) A and B can do a piece of work in 8 days, B and C can do the same work in 6 days, C and A in 4 days. In how many days can A, B and C finish together? Also find the number of days in which B alone can do the work. 

A) 24 B) 48 C) 42 D) 36

14) Ramesh, Dinesh and Suresh can together do a piece of work in 4 days. Ramesh can do the same work in 12 days and Suresh can do it in 20 days. How many days will Dinesh take to do the work by himself. 

A) 10 B) 12 C) 15    D) 20

15) Two inlet pipes can fill up a cistern in 4 hours and 5 hours, repetitively. If both pipes start filling the cistern together, how long will it take for the cistern to get filled?

A) 20 B) 9 C)  20/9 D) 9/25

16) A tap A can fill a tank in 4 hours and tap B can empty the full tank in 6 hours. If both the taps are opened together in the empty tank, in how much time will the tank be filled up ? 

A) 12 B) 15 C) 20 D) 24

17) Two inlet pipes can fill up a cistern in 12 hours and 16 hours, repetitively. The full cistern can be emptied by a third tap in 8 hours. If all pipes start at the same time, in how much time will the empty tank be filled up comptely. 

A) 48 B) 42 C) 20 D) 20

18) Two inlet pipes can fill up a cistern in 3 hours and 5 hours, respectively. If both pipes start filling the cistern together, how long will it take for the cistern to get filled? 

A) 15 B) 8 C) 8/15 D) 15/8

19) Tap A and tap B can together fill an empty cistern in 6 hours. Tap A alone can fill the cistern in 10 hours. Find the time taken by tap B alone to fill the cistern. 

A) 10 B) 15 C) 20 D) 24

20) Tap A and tap B can fill an empty cistern in 12 hours and 15 hours respectively. The full cistern can be emptied by a third tap C in 10 hours. If all the taps are opened on at the same time, in how many much time will the empty tank be filled up comptely? 

A) 48 B) 42 C) 36 D) 30

21) Three pipes A, B and C can fill an empty cistern in 15 hours, 10 hours and 6 hours respectively. In how much time will the cistern be filled, if all the three pipes work together. 

A) 6 B) 5 C) 4 D) 3

22) A pipe can fill a tank in 10 hours. Due to a leak in the bottom it is filled in 12 hours. When the tank in full, in how much time will be emptied by the leak ? 

A) 54 B) 60 C) 42 D) 15

23) Tap A and tap B can empty the cistern in 3 and 5 hours. Tap C alone can empty the cistern in 15/2 hours. If all three taps are open at the same time, in how many hours will the cistern be full? 

A) 5 B) 2 C) 2/5 D)  5/2

24) Tap A and tap B can together fill an empty cistern in 48/5 hours. If Tap A alone can fill the cistern in 16 hours. Find the time taken by tap B alone to fill the cistern. 

A) 24 B) 36 C) 42 D) none

Answers

1A 2D 3A 4D 5D 6B 7A 8A 9B 10D 11D 12A 13B 14C 15C 16A 17A 18D 19B 20A 21D 22B 23D 24A