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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 214 · 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 4 hours. How many hours does pipe B alone take?
  2. 2.A tap fills a tank in 6 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?
  3. 3.Pipe A fills a tank in 5 hours and pipe B fills it in 20 hours. How many hours do both pipes take together?
  4. 4.Pipes A and B fill a tank in 12 and 20 hours. Pipe C empties the full tank in 9 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 5 hours. Pipe A alone fills it in 6 hours. How many hours does pipe B alone take?
  6. 6.Pipes A and B fill a tank in 6 and 12 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.A tap fills a tank in 20 hours. A leak at the bottom empties the full tank in 25 hours. With both open, how many hours does the tank take to fill?
  8. 8.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 10 hours. How many hours does pipe B alone take?
  9. 9.Pipe A fills a tank in 21 hours and pipe B fills it in 28 hours. How many hours do both pipes take together?
  10. 10.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?
  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 together fill a tank in 3 hours. Pipe A alone fills it in 4 hours. How many hours does pipe B alone take?
  13. 13.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?
  14. 14.Pipes A and B fill a tank in 10 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?
  15. 15.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?
  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.Pipe A fills a tank in 4 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  18. 18.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?
  19. 19.A tap fills a tank in 12 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?
  20. 20.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?
  21. 21.Pipes A and B fill a tank in 6 and 12 hours. Pipe C empties the full tank in 20 hours. If all three are open, how many hours does the tank take to fill?
  22. 22.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?
  23. 23.Pipes A and B together fill a tank in 12 hours. Pipe A alone fills it in 16 hours. How many hours does pipe B alone take?
  24. 24.Pipes A and B together fill a tank in 12 hours. Pipe A alone fills it in 14 hours. How many hours does pipe B alone take?
  25. 25.Pipes A and B fill a tank in 6 and 10 hours. Pipe C empties the full tank in 5 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 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?
  27. 27.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?
  28. 28.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?
  29. 29.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?
  30. 30.Pipes A and B fill a tank in 3 and 5 hours. Pipe C empties the full tank in 2 hours. If all three are open, how many hours does the tank take to fill?
  31. 31.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?
  32. 32.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?
  33. 33.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?
  34. 34.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?
  35. 35.Pipes A and B fill a tank in 6 and 10 hours. Pipe C empties the full tank in 4 hours. If all three are open, how many hours does the tank take to fill?
  36. 36.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?
  37. 37.Pipe A fills a tank in 8 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  38. 38.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?
  39. 39.Pipe A fills a tank in 10 hours and pipe B fills it in 15 hours. How many hours do both pipes take together?
  40. 40.Pipes A and B together fill a tank in 15 hours. Pipe A alone fills it in 30 hours. How many hours does pipe B alone take?

Answer key

  1. 4
  2. 18
  3. 4
  4. 45
  5. 30
  6. 8
  7. 100
  8. 15
  9. 12
  10. 6
  11. 5
  12. 12
  13. 40
  14. 60
  15. 36
  16. 6
  17. 3
  18. 2
  19. 20
  20. 2
  21. 5
  22. 8
  23. 48
  24. 84
  25. 15
  26. 5
  27. 72
  28. 15
  29. 60
  30. 30
  31. 40
  32. 6
  33. 54
  34. 42
  35. 60
  36. 30
  37. 6
  38. 48
  39. 6
  40. 30

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