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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 85 · 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.Pipe A fills a tank in 8 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  2. 2.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?
  3. 3.Pipe A fills a tank in 12 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  4. 4.A tap fills a tank in 8 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?
  5. 5.Pipes A and B fill a tank in 5 and 6 hours. Pipe C empties the full tank in 30 hours. If all three are open, how many hours does the tank take to fill?
  6. 6.Pipes A and B fill a tank in 10 and 15 hours. Pipe C empties the full tank in 7 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 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?
  8. 8.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
  9. 9.A tap fills a tank in 15 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?
  10. 10.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?
  11. 11.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?
  12. 12.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?
  13. 13.Pipe A fills a tank in 15 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  14. 14.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?
  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.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?
  17. 17.Pipes A and B fill a tank in 3 and 6 hours. Pipe C empties the full tank in 4 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 3 hours. Pipe A alone fills it in 4 hours. How many hours does pipe B alone take?
  19. 19.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?
  20. 20.A tap fills a tank in 12 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?
  21. 21.Pipes A and B fill a tank in 6 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?
  22. 22.Pipe A fills a tank in 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  23. 23.A tap fills a tank in 9 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?
  24. 24.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?
  25. 25.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?
  26. 26.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 9 hours. How many hours does pipe B alone take?
  27. 27.A tap fills a tank in 4 hours. A leak at the bottom empties the full tank in 5 hours. With both open, how many hours does the tank take to fill?
  28. 28.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?
  29. 29.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?
  30. 30.Pipes A and B fill a tank in 6 and 18 hours. Pipe C empties the full tank in 5 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 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?
  32. 32.Pipe A fills a tank in 21 hours and pipe B fills it in 28 hours. How many hours do both pipes take together?
  33. 33.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?
  34. 34.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?
  35. 35.A tap fills a tank in 15 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?
  36. 36.Pipes A and B fill a tank in 4 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.Pipes A and B together fill a tank in 10 hours. Pipe A alone fills it in 15 hours. How many hours does pipe B alone take?
  38. 38.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?
  39. 39.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?
  40. 40.A tap fills a tank in 15 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?

Answer key

  1. 6
  2. 42
  3. 8
  4. 10
  5. 3
  6. 42
  7. 2
  8. 2
  9. 40
  10. 20
  11. 45
  12. 2
  13. 10
  14. 30
  15. 120
  16. 24
  17. 4
  18. 12
  19. 6
  20. 36
  21. 4
  22. 5
  23. 18
  24. 15
  25. 6
  26. 18
  27. 20
  28. 84
  29. 15
  30. 45
  31. 36
  32. 12
  33. 4
  34. 90
  35. 90
  36. 5
  37. 30
  38. 8
  39. 60
  40. 30

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