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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 741 · 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 20 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?
  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.A tap fills a tank in 14 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?
  4. 4.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?
  5. 5.Pipes A and B fill a tank in 5 and 20 hours. Pipe C empties the full tank in 8 hours. If all three are open, how many hours does the tank take to fill?
  6. 6.Pipe A fills a tank in 15 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  7. 7.Pipe A fills a tank in 5 hours and pipe B fills it in 20 hours. How many hours do both pipes take together?
  8. 8.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?
  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.Pipes A and B fill a tank in 10 and 15 hours. Pipe C empties the full tank in 12 hours. If all three are open, how many hours does the tank take to fill?
  11. 11.Pipes A and B together fill a tank in 4 hours. Pipe A alone fills it in 20 hours. How many hours does pipe B alone take?
  12. 12.A tap fills a tank in 6 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?
  13. 13.Pipes A and B fill a tank in 3 and 12 hours. Pipe C empties the full tank in 4 hours. If all three are open, how many hours does the tank take to fill?
  14. 14.Pipes A and B fill a tank in 9 and 18 hours. Pipe C empties the full tank in 7 hours. If all three are open, how many hours does the tank take to fill?
  15. 15.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?
  16. 16.A tap fills a tank in 3 hours. A leak at the bottom empties the full tank in 6 hours. With both open, how many hours does the tank take to fill?
  17. 17.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?
  18. 18.Pipe A fills a tank in 21 hours and pipe B fills it in 28 hours. How many hours do both pipes take together?
  19. 19.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?
  20. 20.Pipe A fills a tank in 4 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  21. 21.A tap fills a tank in 12 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?
  22. 22.Pipes A and B fill a tank in 5 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?
  23. 23.Pipe A fills a tank in 12 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  24. 24.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?
  25. 25.A tap fills a tank in 10 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?
  26. 26.A tap fills a tank in 2 hours. A leak at the bottom empties the full tank in 6 hours. With both open, how many hours does the tank take to fill?
  27. 27.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?
  28. 28.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?
  29. 29.Pipe A fills a tank in 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  30. 30.Pipes A and B fill a tank in 9 and 18 hours. Pipe C empties the full tank in 15 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 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?
  32. 32.Pipes A and B fill a tank in 12 and 20 hours. Pipe C empties the full tank in 10 hours. If all three are open, how many hours does the tank take to fill?
  33. 33.A tap fills a tank in 8 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?
  34. 34.A tap fills a tank in 8 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?
  35. 35.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?
  36. 36.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?
  37. 37.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?
  38. 38.Pipes A and B fill a tank in 4 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?
  39. 39.Pipes A and B together fill a tank in 15 hours. Pipe A alone fills it in 24 hours. How many hours does pipe B alone take?
  40. 40.Pipes A and B fill a tank in 9 and 18 hours. Pipe C empties the full tank in 12 hours. If all three are open, how many hours does the tank take to fill?

Answer key

  1. 45
  2. 6
  3. 42
  4. 60
  5. 8
  6. 10
  7. 4
  8. 8
  9. 6
  10. 12
  11. 5
  12. 8
  13. 6
  14. 42
  15. 6
  16. 6
  17. 24
  18. 12
  19. 99
  20. 3
  21. 24
  22. 30
  23. 8
  24. 45
  25. 30
  26. 3
  27. 48
  28. 12
  29. 5
  30. 10
  31. 5
  32. 30
  33. 24
  34. 16
  35. 30
  36. 45
  37. 40
  38. 6
  39. 40
  40. 12

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