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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 264 · 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 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?
  2. 2.Pipe A fills a tank in 10 hours and pipe B fills it in 15 hours. How many hours do both pipes take together?
  3. 3.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?
  4. 4.A tap fills a tank in 10 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?
  5. 5.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?
  6. 6.Pipe A fills a tank in 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  7. 7.A tap fills a tank in 9 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?
  8. 8.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?
  9. 9.Pipes A and B fill a tank in 6 and 20 hours. Pipe C empties the full tank in 5 hours. If all three are open, how many hours does the tank take to fill?
  10. 10.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?
  11. 11.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?
  12. 12.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?
  13. 13.Pipes A and B fill a tank in 6 and 18 hours. Pipe C empties the full tank in 9 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 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?
  15. 15.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
  16. 16.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?
  17. 17.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?
  18. 18.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?
  19. 19.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?
  20. 20.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?
  21. 21.A tap fills a tank in 12 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?
  22. 22.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?
  23. 23.A tap fills a tank in 9 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?
  24. 24.Pipe A fills a tank in 6 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  25. 25.Pipe A fills a tank in 20 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  26. 26.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 18 hours. How many hours does pipe B alone take?
  27. 27.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?
  28. 28.A tap fills a tank in 13 hours. A leak at the bottom empties the full tank in 26 hours. With both open, how many hours does the tank take to fill?
  29. 29.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?
  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.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?
  32. 32.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?
  33. 33.Pipe A fills a tank in 4 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  34. 34.Pipe A fills a tank in 15 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  35. 35.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?
  36. 36.Pipe A fills a tank in 12 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  37. 37.Pipe A fills a tank in 9 hours and pipe B fills it in 18 hours. How many hours do both pipes take together?
  38. 38.Pipes A and B together fill a tank in 7 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 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?
  40. 40.Pipes A and B fill a tank in 10 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?

Answer key

  1. 56
  2. 6
  3. 14
  4. 15
  5. 24
  6. 5
  7. 12
  8. 90
  9. 60
  10. 6
  11. 60
  12. 16
  13. 9
  14. 12
  15. 2
  16. 84
  17. 6
  18. 40
  19. 4
  20. 5
  21. 30
  22. 45
  23. 90
  24. 4
  25. 12
  26. 9
  27. 80
  28. 26
  29. 10
  30. 10
  31. 90
  32. 60
  33. 3
  34. 10
  35. 2
  36. 8
  37. 6
  38. 56
  39. 9
  40. 15

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