Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 95 · 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.Pipes A and B fill a tank in 4 and 9 hours. Pipe C empties the full tank in 3 hours. If all three are open, how many hours does the tank take to fill?
2. 2.A tap fills a tank in 19 hours. A leak at the bottom empties the full tank in 38 hours. With both open, how many hours does the tank take to fill?
3. 3.A tap fills a tank in 5 hours. A leak at the bottom empties the full tank in 30 hours. With both open, how many hours does the tank take to fill?
4. 4.Pipes A and B fill a tank in 12 and 15 hours. Pipe C empties the full tank in 8 hours. If all three are open, how many hours does the tank take to fill?
5. 5.Pipes A and B together fill a tank in 4 hours. Pipe A alone fills it in 8 hours. How many hours does pipe B alone take?
6. 6.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?
7. 7.A tap fills a tank in 18 hours. A leak at the bottom empties the full tank in 22 hours. With both open, how many hours does the tank take to fill?
8. 8.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?
9. 9.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?
10. 10.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?
11. 11.Pipes A and B fill a tank in 12 and 15 hours. Pipe C empties the full tank in 10 hours. If all three are open, how many hours does the tank take to fill?
12. 12.Pipes A and B together fill a tank in 9 hours. Pipe A alone fills it in 10 hours. How many hours does pipe B alone take?
13. 13.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?
14. 14.Pipe A fills a tank in 21 hours and pipe B fills it in 28 hours. How many hours do both pipes take together?
15. 15.Pipe A fills a tank in 20 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
16. 16.Pipe A fills a tank in 9 hours and pipe B fills it in 18 hours. How many hours do both pipes take together?
17. 17.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?
18. 18.Pipes A and B together fill a tank in 7 hours. Pipe A alone fills it in 14 hours. How many hours does pipe B alone take?
19. 19.Pipes A and B together fill a tank in 2 hours. Pipe A alone fills it in 4 hours. How many hours does pipe B alone take?
20. 20.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?
21. 21.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?
22. 22.Pipe A fills a tank in 15 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
23. 23.Pipes A and B fill a tank in 3 and 5 hours. Pipe C empties the full tank in 30 hours. If all three are open, how many hours does the tank take to fill?
24. 24.A tap fills a tank in 10 hours. A leak at the bottom empties the full tank in 11 hours. With both open, how many hours does the tank take to fill?
25. 25.Pipes A and B fill a tank in 7 and 14 hours. Pipe C empties the full tank in 6 hours. If all three are open, how many hours does the tank take to fill?
26. 26.Pipes A and B fill a tank in 15 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?
27. 27.Pipe A fills a tank in 4 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
28. 28.Pipes A and B fill a tank in 4 and 10 hours. Pipe C empties the full tank in 3 hours. If all three are open, how many hours does the tank take to fill?
29. 29.Pipes A and B fill a tank in 6 and 20 hours. Pipe C empties the full tank in 5 hours. If all three are open, how many hours does the tank take to fill?
30. 30.Pipe A fills a tank in 10 hours and pipe B fills it in 15 hours. How many hours do both pipes take together?
31. 31.A tap fills a tank in 9 hours. A leak at the bottom empties the full tank in 36 hours. With both open, how many hours does the tank take to fill?
32. 32.Pipes A and B fill a tank in 3 and 4 hours. Pipe C empties the full tank in 12 hours. If all three are open, how many hours does the tank take to fill?
33. 33.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?
34. 34.A tap fills a tank in 12 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?
35. 35.Pipe A fills a tank in 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
36. 36.A tap fills a tank in 12 hours. A leak at the bottom empties the full tank in 16 hours. With both open, how many hours does the tank take to fill?
37. 37.A tap fills a tank in 14 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?
38. 38.Pipes A and B together fill a tank in 4 hours. Pipe A alone fills it in 6 hours. How many hours does pipe B alone take?
39. 39.A tap fills a tank in 16 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?
40. 40.Pipes A and B fill a tank in 7 and 8 hours. Pipe C empties the full tank in 4 hours. If all three are open, how many hours does the tank take to fill?

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