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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 1 · 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 together fill a tank in 12 hours. Pipe A alone fills it in 28 hours. How many hours does pipe B alone take?
  3. 3.Pipe A fills a tank in 21 hours and pipe B fills it in 28 hours. How many hours do both pipes take together?
  4. 4.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
  5. 5.Pipes A and B together fill a tank in 14 hours. Pipe A alone fills it in 18 hours. How many hours does pipe B alone take?
  6. 6.Pipes A and B fill a tank in 5 and 15 hours. Pipe C empties the full tank in 6 hours. If all three are open, how many hours does the tank take to fill?
  7. 7.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?
  8. 8.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?
  9. 9.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?
  10. 10.Pipes A and B fill a tank in 8 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?
  11. 11.A tap fills a tank in 7 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?
  12. 12.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?
  13. 13.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?
  14. 14.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?
  15. 15.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?
  16. 16.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?
  17. 17.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?
  18. 18.A tap fills a tank in 6 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?
  19. 19.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?
  20. 20.Pipes A and B fill a tank in 5 and 20 hours. Pipe C empties the full tank in 8 hours. If all three are open, how many hours does the tank take to fill?
  21. 21.Pipe A fills a tank in 4 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  22. 22.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?
  23. 23.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?
  24. 24.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?
  25. 25.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?
  26. 26.A tap fills a tank in 15 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?
  27. 27.Pipe A fills a tank in 12 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  28. 28.Pipe A fills a tank in 20 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  29. 29.A tap fills a tank in 18 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?
  30. 30.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?
  31. 31.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?
  32. 32.Pipes A and B fill a tank in 6 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?
  33. 33.Pipes A and B fill a tank in 3 and 12 hours. Pipe C empties the full tank in 4 hours. If all three are open, how many hours does the tank take to fill?
  34. 34.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?
  35. 35.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?
  36. 36.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?
  37. 37.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?
  38. 38.Pipes A and B together fill a tank in 4 hours. Pipe A alone fills it in 5 hours. How many hours does pipe B alone take?
  39. 39.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?
  40. 40.Pipes A and B fill a tank in 6 and 9 hours. Pipe C empties the full tank in 4 hours. If all three are open, how many hours does the tank take to fill?

Answer key

  1. 6
  2. 21
  3. 12
  4. 2
  5. 63
  6. 10
  7. 4
  8. 24
  9. 18
  10. 24
  11. 56
  12. 100
  13. 36
  14. 3
  15. 4
  16. 5
  17. 12
  18. 12
  19. 42
  20. 8
  21. 3
  22. 6
  23. 84
  24. 14
  25. 12
  26. 24
  27. 8
  28. 12
  29. 45
  30. 56
  31. 42
  32. 30
  33. 6
  34. 90
  35. 8
  36. 8
  37. 56
  38. 20
  39. 60
  40. 36

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