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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 61 · 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 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?
  2. 2.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?
  3. 3.A tap fills a tank in 20 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?
  4. 4.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?
  5. 5.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?
  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 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  8. 8.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?
  9. 9.Pipes A and B fill a tank in 6 and 12 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.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?
  11. 11.Pipe A fills a tank in 12 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  12. 12.Pipe A fills a tank in 5 hours and pipe B fills it in 20 hours. How many hours do both pipes take together?
  13. 13.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?
  14. 14.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?
  15. 15.Pipes A and B fill a tank in 12 and 15 hours. Pipe C empties the full tank in 10 hours. If all three are open, how many hours does the tank take to fill?
  16. 16.Pipe A fills a tank in 20 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  17. 17.Pipes A and B together fill a tank in 10 hours. Pipe A alone fills it in 20 hours. How many hours does pipe B alone take?
  18. 18.Pipe A fills a tank in 9 hours and pipe B fills it in 18 hours. How many hours do both pipes take together?
  19. 19.Pipes A and B fill a tank in 5 and 20 hours. Pipe C empties the full tank in 6 hours. If all three are open, how many hours does the tank take to fill?
  20. 20.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?
  21. 21.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?
  22. 22.Pipes A and B together fill a tank in 12 hours. Pipe A alone fills it in 15 hours. How many hours does pipe B alone take?
  23. 23.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?
  24. 24.Pipes A and B together fill a tank in 9 hours. Pipe A alone fills it in 18 hours. How many hours does pipe B alone take?
  25. 25.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?
  26. 26.Pipes A and B fill a tank in 8 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?
  27. 27.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?
  28. 28.A tap fills a tank in 15 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?
  29. 29.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?
  30. 30.Pipe A fills a tank in 6 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  31. 31.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 7 hours. How many hours does pipe B alone take?
  32. 32.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?
  33. 33.Pipes A and B fill a tank in 4 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?
  34. 34.Pipes A and B together fill a tank in 7 hours. Pipe A alone fills it in 14 hours. How many hours does pipe B alone take?
  35. 35.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?
  36. 36.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?
  37. 37.Pipes A and B fill a tank in 5 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?
  38. 38.A tap fills a tank in 18 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?
  39. 39.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?
  40. 40.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?

Answer key

  1. 42
  2. 12
  3. 60
  4. 56
  5. 8
  6. 10
  7. 5
  8. 10
  9. 20
  10. 40
  11. 8
  12. 4
  13. 30
  14. 24
  15. 20
  16. 12
  17. 20
  18. 6
  19. 12
  20. 45
  21. 99
  22. 60
  23. 120
  24. 18
  25. 2
  26. 40
  27. 45
  28. 60
  29. 6
  30. 4
  31. 42
  32. 12
  33. 10
  34. 14
  35. 4
  36. 60
  37. 6
  38. 72
  39. 90
  40. 12

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