Time and Work, Pipes and Cisterns - One Line Questions

1. A can complete a work in 20 days and B can complete the same work in 30 days. They start working together. In how many days will the work be completed? — 12 days
2. A can do a work in 18 days. B can do the same work in 24 days. C can do the same work in 30 days. A and B work together for 6 days. Then B leaves. In how many days can A and C complete the remaining work? — 12 days
3. A can do a work in 20 days. B can do the same work in 25 days. They start working together, but B leaves after 5 days. In how many days will A complete the remaining work? — 15 days
4. A can do a work in 20 days. He works for 10 days and then B completes the remaining work in 6 days. In how many days can B alone complete the work? — 15 days
5. A can do a work in 15 days. B can do the same work in 25 days. They start working together, but A leaves 5 days before the work is completed. In how many days was the work completed? — 11 days
6. A can do a work in 18 days. B can do the same work in 24 days. They start working together, but B leaves 6 days before the work is completed. In how many days was the work completed? — 12 days
7. A cistern has two taps. The first tap can fill it in 3 hours and the second tap can empty it in 4 hours. If both taps are opened, how long will it take to fill the cistern? — 12 hours
8. A cistern can be filled by a tap in 4 hours. It can be emptied by a second tap in 6 hours. If both taps are opened, in how many hours will the cistern be filled? — 12 hours
9. A cistern is filled by a tap in 4 hours. It is emptied by another tap in 6 hours. If the taps are opened alternately for one hour each, starting with the filling tap, how long will it take to fill the cistern? — 11 hours
10. A tap fills a tank in 4 hours. Another tap empties it in 6 hours. If the tank is half full, and both taps are opened, how long will it take to fill the tank completely? — 12 hours
11. A tap fills a tank in 6 hours. Another tap empties it in 12 hours. If the tank is half full, and both taps are opened, how long will it take to fill the tank completely? — 12 hours
12. A can do a work in 20 days. B can do the same work in 30 days. They start working together, but B leaves 3 days before the work is completed. In how many days was the work completed? — 13 days
13. A and B can complete a work in 8 days. B and C can complete the same work in 12 days. A and C can complete the same work in 15 days. In how many days can A alone complete the work? — 20 days
14. A can do a work in 12 days. He works for 8 days and then B completes the remaining work in 6 days. In how many days can B alone complete the work? — 18 days
15. A tap can fill a cistern in 5 hours. Another tap can empty the same cistern in 4 hours. If both taps are opened, how long will it take to empty the cistern? — 20 hours
16. A cistern is filled by a tap in 5 hours. It is emptied by another tap in 4 hours. If the taps are opened alternately for one hour each, starting with the filling tap, how long will it take to fill the cistern? — 19 hours
17. A can do a piece of work in 5 days and B can do it in 7 days. How long will it take for them to do the work together? — 2 days and 11/12 hours
18. A tap can fill a cistern in 6 hours. After 2 hours, half of the cistern is filled. How long will it take to fill the remaining part? — 4 hours
19. A, B, and C can complete a work in 10 days. A and B together can complete the same work in 15 days. In how many days can C alone complete the work? — 30 days
20. A and B can complete a work in 12 days. B and C can complete the same work in 18 days. A and C can complete the same work in 24 days. In how many days can B alone complete the work? — 24 days
21. A can do a work in 15 days. He works for 6 days and then B completes the remaining work in 9 days. In how many days can B alone complete the work? — 20 days
22. A tap can fill a cistern in 8 hours. Another tap can empty the same cistern in 6 hours. If both taps are opened, how long will it take to empty the cistern? — 24 hours
23. A, B, and C can complete a work in 12 days. A and B together can complete the same work in 18 days. In how many days can C alone complete the work? — 36 days
24. A cistern is filled by a tap in 6 hours. It is emptied by another tap in 8 hours. If the taps are opened alternately for one hour each, starting with the filling tap, how long will it take to fill the cistern? — 27 hours
25. A cistern is filled by a tap in 10 hours. It is emptied by another tap in 15 hours. If the taps are opened alternately for one hour each, starting with the filling tap, how long will it take to fill the cistern? — 29 hours
26. A, B, and C can complete a work in 10, 12, and 15 days respectively. They start working together. After 2 days, A leaves the work. In how many days will B and C complete the remaining work? — 5 days
27. A tap can fill a cistern in 6 hours. Another tap can empty the same cistern in 3 hours. If both taps are opened, how long will it take to empty the cistern? — 3 hours
28. Tap A can fill a cistern in 5 hours. Tap B can fill it in 6 hours. Tap C can empty it in 12 hours. If all three taps are opened, in how many hours will the cistern be filled? — 4 hours
29. A tap fills a tank in 2 hours. Another tap empties it in 4 hours. If the tank is half full, and both taps are opened, how long will it take to fill the tank completely? — 3 hours
30. A tap can fill a tank in 12 hours. Due to a leakage, it takes 18 hours to fill the tank. The leakage can empty the full tank in how many hours? — 36 hours
31. A can complete a work in 10 days. B can complete the same work in 15 days. A starts the work alone and works for 3 days. Then B joins A. In how many more days will the work be completed? — 4 days
32. A can complete a work in 7 days. B can complete the same work in 10 days. C can complete the same work in 14 days. They start working together. After 3 days, A leaves. In how many days will B and C complete the remaining work? — 5 days
33. A tap fills a tank in 3 hours. Another tap empties it in 6 hours. If the tank is half full, and both taps are opened, how long will it take to fill the tank completely? — 6 hours
34. A tap can fill a tank in 15 hours. Due to a leakage, it takes 20 hours to fill the tank. The leakage can empty the full tank in how many hours? — 60 hours
35. A tap can fill a tank in 8 hours. Due to a leakage, it takes 10 hours to fill the tank. The leakage can empty the full tank in how many hours? — 40 hours
36. A and B can complete a work in 30 days. A and C can complete the same work in 45 days. B and C can complete the same work in 60 days. In how many days can A alone complete the work? — 60 days
37. A tap can fill a cistern in 10 hours. Another tap can empty the same cistern in 12 hours. If both taps are opened, how long will it take to fill the cistern? — 60 hours
38. A cistern is filled by a tap in 12 hours. It is emptied by another tap in 16 hours. If the cistern is 1/3 full and both taps are opened, how long will it take to fill the cistern completely? — 48 hours
39. If A can do a piece of work in 10 days and B can do the same work in 15 days, in how many days can they complete the work together? — 6 days
40. A cistern is filled by three taps A, B, and C in 12, 15, and 20 hours respectively. How long will it take to fill the cistern if all three taps are opened together? — 5 hours
41. A and B can complete a work in 10 days. B and C can complete the same work in 15 days. A and C can complete the same work in 20 days. In how many days can A, B, and C together complete the work? — 6 days
42. A can do a work in 10 days. B can do the same work in 15 days. They start working together, but A leaves 2 days before the work is completed. In how many days was the work completed? — 8 days
43. A tap can fill a tank in 10 hours. Due to a leakage, it takes 12 hours to fill the tank. The leakage can empty the full tank in how many hours? — 60 hours
44. A cistern is filled by a tap in 3 hours. It is emptied by another tap in 5 hours. If the taps are opened alternately for one hour each, starting with the filling tap, how long will it take to fill the cistern? — 9 hours
45. A can complete a work in 15 days. B can complete the same work in 20 days. C can complete the same work in 25 days. They start working together. After 5 days, B leaves. In how many days will A and C complete the remaining work? — 7.5 days
46. A and B can complete a work in 12 days and 16 days respectively. They work together for 4 days. Then A leaves. In how many days will B complete the remaining work? — 12 days
47. A can do a work in 10 days. He works for 5 days and then B completes the remaining work in 4 days. In how many days can B alone complete the work? — 9 days
48. Two taps A and B can fill a cistern in 10 hours and 15 hours respectively. A third tap C can empty the cistern in 20 hours. If all three taps are opened, how long will it take to fill the cistern? — 10 hours
49. A cistern can be filled by a tap in 5 hours. It can be emptied by a second tap in 10 hours. If both taps are opened, in how many hours will the cistern be filled? — 10 hours
50. A tap fills a tank in 5 hours. Another tap empties it in 10 hours. If the tank is half full, and both taps are opened, how long will it take to fill the tank completely? — 10 hours
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