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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 209 · 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 together fill a tank in 18 hours. Pipe A alone fills it in 24 hours. How many hours does pipe B alone take?
  2. 2.Pipe A fills a tank in 12 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  3. 3.Pipe A fills a tank in 9 hours and pipe B fills it in 18 hours. How many hours do both pipes take together?
  4. 4.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?
  5. 5.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?
  6. 6.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?
  7. 7.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?
  8. 8.Pipes A and B fill a tank in 5 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?
  9. 9.A tap fills a tank in 16 hours. A leak at the bottom empties the full tank in 32 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 15 hours. With both open, how many hours does the tank take to fill?
  11. 11.Pipes A and B together fill a tank in 20 hours. Pipe A alone fills it in 28 hours. How many hours does pipe B alone take?
  12. 12.Pipes A and B fill a tank in 8 and 12 hours. Pipe C empties the full tank in 24 hours. If all three are open, how many hours does the tank take to fill?
  13. 13.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?
  14. 14.Pipes A and B fill a tank in 5 and 10 hours. Pipe C empties the full tank in 20 hours. If all three are open, how many hours does the tank take to fill?
  15. 15.A tap fills a tank in 12 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?
  16. 16.Pipe A fills a tank in 4 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  17. 17.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
  18. 18.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?
  19. 19.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?
  20. 20.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?
  21. 21.A tap fills a tank in 14 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?
  22. 22.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?
  23. 23.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?
  24. 24.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?
  25. 25.Pipes A and B together fill a tank in 4 hours. Pipe A alone fills it in 12 hours. How many hours does pipe B alone take?
  26. 26.Pipe A fills a tank in 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  27. 27.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?
  28. 28.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?
  29. 29.Pipes A and B together fill a tank in 15 hours. Pipe A alone fills it in 20 hours. How many hours does pipe B alone take?
  30. 30.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?
  31. 31.Pipes A and B fill a tank in 2 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?
  32. 32.Pipe A fills a tank in 10 hours and pipe B fills it in 15 hours. How many hours do both pipes take together?
  33. 33.Pipe A fills a tank in 8 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  34. 34.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?
  35. 35.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?
  36. 36.A tap fills a tank in 20 hours. A leak at the bottom empties the full tank in 28 hours. With both open, how many hours does the tank take to fill?
  37. 37.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?
  38. 38.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?
  39. 39.Pipes A and B fill a tank in 9 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?
  40. 40.Pipe A fills a tank in 20 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?

Answer key

  1. 72
  2. 8
  3. 6
  4. 45
  5. 30
  6. 2
  7. 20
  8. 20
  9. 32
  10. 60
  11. 70
  12. 6
  13. 12
  14. 4
  15. 18
  16. 3
  17. 2
  18. 10
  19. 5
  20. 120
  21. 112
  22. 10
  23. 24
  24. 3
  25. 6
  26. 5
  27. 20
  28. 45
  29. 60
  30. 4
  31. 3
  32. 6
  33. 6
  34. 56
  35. 30
  36. 70
  37. 60
  38. 18
  39. 36
  40. 12

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