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Pipes and Cisterns Worksheet

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

Answer key

  1. 34
  2. 4
  3. 3
  4. 4
  5. 26
  6. 42
  7. 6
  8. 8
  9. 12
  10. 10
  11. 24
  12. 36
  13. 2
  14. 15
  15. 60
  16. 5
  17. 40
  18. 3
  19. 6
  20. 12
  21. 12
  22. 60
  23. 6
  24. 30
  25. 3
  26. 24
  27. 12
  28. 3
  29. 6
  30. 24
  31. 10
  32. 99
  33. 30
  34. 42
  35. 10
  36. 45
  37. 84
  38. 60
  39. 20
  40. 4

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