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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 66 · 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.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?
  2. 2.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?
  3. 3.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?
  4. 4.A tap fills a tank in 18 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?
  5. 5.Pipes A and B fill a tank in 10 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.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?
  7. 7.A tap fills a tank in 18 hours. A leak at the bottom empties the full tank in 27 hours. With both open, how many hours does the tank take to fill?
  8. 8.Pipe A fills a tank in 9 hours and pipe B fills it in 18 hours. How many hours do both pipes take together?
  9. 9.A tap fills a tank in 18 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?
  10. 10.A tap fills a tank in 14 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?
  11. 11.Pipe A fills a tank in 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  12. 12.Pipes A and B fill a tank in 3 and 4 hours. Pipe C empties the full tank in 2 hours. If all three are open, how many hours does the tank take to fill?
  13. 13.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?
  14. 14.Pipe A fills a tank in 10 hours and pipe B fills it in 15 hours. How many hours do both pipes take together?
  15. 15.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?
  16. 16.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?
  17. 17.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?
  18. 18.Pipes A and B together fill a tank in 11 hours. Pipe A alone fills it in 22 hours. How many hours does pipe B alone take?
  19. 19.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?
  20. 20.Pipes A and B together fill a tank in 15 hours. Pipe A alone fills it in 18 hours. How many hours does pipe B alone take?
  21. 21.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?
  22. 22.Pipes A and B fill a tank in 15 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?
  23. 23.Pipes A and B together fill a tank in 13 hours. Pipe A alone fills it in 26 hours. How many hours does pipe B alone take?
  24. 24.A tap fills a tank in 6 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?
  25. 25.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?
  26. 26.Pipes A and B fill a tank in 18 and 20 hours. Pipe C empties the full tank in 12 hours. If all three are open, how many hours does the tank take to fill?
  27. 27.Pipes A and B together fill a tank in 18 hours. Pipe A alone fills it in 24 hours. How many hours does pipe B alone take?
  28. 28.Pipe A fills a tank in 6 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  29. 29.Pipes A and B fill a tank in 5 and 15 hours. Pipe C empties the full tank in 4 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 4 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?
  31. 31.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?
  32. 32.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?
  33. 33.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?
  34. 34.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?
  35. 35.Pipes A and B fill a tank in 8 and 15 hours. Pipe C empties the full tank in 6 hours. If all three are open, how many hours does the tank take to fill?
  36. 36.Pipes A and B together fill a tank in 21 hours. Pipe A alone fills it in 28 hours. How many hours does pipe B alone take?
  37. 37.A tap fills a tank in 12 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?
  38. 38.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?
  39. 39.A tap fills a tank in 4 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?
  40. 40.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?

Answer key

  1. 6
  2. 16
  3. 8
  4. 36
  5. 40
  6. 24
  7. 54
  8. 6
  9. 45
  10. 112
  11. 5
  12. 12
  13. 4
  14. 6
  15. 120
  16. 14
  17. 30
  18. 22
  19. 12
  20. 90
  21. 72
  22. 60
  23. 26
  24. 9
  25. 30
  26. 45
  27. 72
  28. 4
  29. 60
  30. 12
  31. 15
  32. 35
  33. 3
  34. 48
  35. 40
  36. 84
  37. 84
  38. 4
  39. 5
  40. 2

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