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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 464 · 40 questions
TalentJR

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.

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

Answer key

  1. 42
  2. 12
  3. 20
  4. 34
  5. 72
  6. 48
  7. 5
  8. 4
  9. 35
  10. 4
  11. 8
  12. 8
  13. 40
  14. 16
  15. 56
  16. 3
  17. 12
  18. 6
  19. 63
  20. 10
  21. 5
  22. 45
  23. 21
  24. 10
  25. 120
  26. 72
  27. 6
  28. 14
  29. 3
  30. 36
  31. 60
  32. 110
  33. 48
  34. 6
  35. 8
  36. 6
  37. 40
  38. 24
  39. 24
  40. 80

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