Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 761 · 40 questions

The method (Tank = LCM units): Tank = LCM of all the hours. Each pipe: tank ÷ its hours = units an hour. Fillers +, emptiers −. Time = tank ÷ net units an hour. One pipe alone: together rate − the other pipe’s rate.

1. 1.A tap fills a tank in 6 hours. A leak at the bottom empties the full tank in 7 hours. With both open, how many hours does the tank take to fill?
2. 2.Pipes A and B together fill a tank in 2 hours. Pipe A alone fills it in 3 hours. How many hours does pipe B alone take?
3. 3.Pipes A and B fill a tank in 2 and 6 hours. Pipe C empties the full tank in 3 hours. If all three are open, how many hours does the tank take to fill?
4. 4.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 8 hours. How many hours does pipe B alone take?
5. 5.Pipe A fills a tank in 5 hours and pipe B fills it in 20 hours. How many hours do both pipes take together?
6. 6.Pipes A and B fill a tank in 3 and 12 hours. Pipe C empties the full tank in 6 hours. If all three are open, how many hours does the tank take to fill?
7. 7.Pipes A and B fill a tank in 7 and 14 hours. Pipe C empties the full tank in 21 hours. If all three are open, how many hours does the tank take to fill?
8. 8.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
9. 9.Pipe A fills a tank in 8 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
10. 10.A tap fills a tank in 12 hours. A leak at the bottom empties the full tank in 21 hours. With both open, how many hours does the tank take to fill?
11. 11.A tap fills a tank in 12 hours. A leak at the bottom empties the full tank in 18 hours. With both open, how many hours does the tank take to fill?
12. 12.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 15 hours. How many hours does pipe B alone take?
13. 13.Pipe A fills a tank in 10 hours and pipe B fills it in 15 hours. How many hours do both pipes take together?
14. 14.Pipes A and B fill a tank in 9 and 18 hours. Pipe C empties the full tank in 8 hours. If all three are open, how many hours does the tank take to fill?
15. 15.Pipe A fills a tank in 21 hours and pipe B fills it in 28 hours. How many hours do both pipes take together?
16. 16.A tap fills a tank in 8 hours. A leak at the bottom empties the full tank in 24 hours. With both open, how many hours does the tank take to fill?
17. 17.Pipes A and B fill a tank in 10 and 15 hours. Pipe C empties the full tank in 9 hours. If all three are open, how many hours does the tank take to fill?
18. 18.A tap fills a tank in 6 hours. A leak at the bottom empties the full tank in 10 hours. With both open, how many hours does the tank take to fill?
19. 19.Pipes A and B together fill a tank in 5 hours. Pipe A alone fills it in 6 hours. How many hours does pipe B alone take?
20. 20.Pipes A and B together fill a tank in 20 hours. Pipe A alone fills it in 30 hours. How many hours does pipe B alone take?
21. 21.A tap fills a tank in 2 hours. A leak at the bottom empties the full tank in 3 hours. With both open, how many hours does the tank take to fill?
22. 22.Pipes A and B together fill a tank in 3 hours. Pipe A alone fills it in 4 hours. How many hours does pipe B alone take?
23. 23.Pipe A fills a tank in 4 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
24. 24.A tap fills a tank in 10 hours. A leak at the bottom empties the full tank in 14 hours. With both open, how many hours does the tank take to fill?
25. 25.A tap fills a tank in 16 hours. A leak at the bottom empties the full tank in 32 hours. With both open, how many hours does the tank take to fill?
26. 26.A tap fills a tank in 4 hours. A leak at the bottom empties the full tank in 8 hours. With both open, how many hours does the tank take to fill?
27. 27.Pipes A and B together fill a tank in 4 hours. Pipe A alone fills it in 5 hours. How many hours does pipe B alone take?
28. 28.A tap fills a tank in 9 hours. A leak at the bottom empties the full tank in 12 hours. With both open, how many hours does the tank take to fill?
29. 29.Pipes A and B fill a tank in 9 and 18 hours. Pipe C empties the full tank in 10 hours. If all three are open, how many hours does the tank take to fill?
30. 30.Pipes A and B fill a tank in 2 and 12 hours. Pipe C empties the full tank in 3 hours. If all three are open, how many hours does the tank take to fill?
31. 31.Pipes A and B together fill a tank in 2 hours. Pipe A alone fills it in 6 hours. How many hours does pipe B alone take?
32. 32.Pipes A and B fill a tank in 6 and 10 hours. Pipe C empties the full tank in 15 hours. If all three are open, how many hours does the tank take to fill?
33. 33.Pipe A fills a tank in 15 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
34. 34.Pipes A and B fill a tank in 12 and 16 hours. Pipe C empties the full tank in 8 hours. If all three are open, how many hours does the tank take to fill?
35. 35.Pipe A fills a tank in 9 hours and pipe B fills it in 18 hours. How many hours do both pipes take together?
36. 36.A tap fills a tank in 6 hours. A leak at the bottom empties the full tank in 15 hours. With both open, how many hours does the tank take to fill?
37. 37.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 24 hours. How many hours does pipe B alone take?
38. 38.Pipes A and B fill a tank in 4 and 8 hours. Pipe C empties the full tank in 24 hours. If all three are open, how many hours does the tank take to fill?
39. 39.Pipe A fills a tank in 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
40. 40.A tap fills a tank in 10 hours. A leak at the bottom empties the full tank in 35 hours. With both open, how many hours does the tank take to fill?

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