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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 619 · 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 4 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  2. 2.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?
  3. 3.Pipe A fills a tank in 15 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  4. 4.A tap fills a tank in 15 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 16 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?
  6. 6.Pipes A and B fill a tank in 9 and 18 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.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?
  8. 8.Pipes A and B fill a tank in 18 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?
  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.Pipe A fills a tank in 5 hours and pipe B fills it in 20 hours. How many hours do both pipes take together?
  11. 11.Pipes A and B fill a tank in 15 and 20 hours. Pipe C empties the full tank in 10 hours. If all three are open, how many hours does the tank take to fill?
  12. 12.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?
  13. 13.Pipes A and B fill a tank in 10 and 15 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.Pipes A and B fill a tank in 10 and 15 hours. Pipe C empties the full tank in 9 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 6 hours. Pipe A alone fills it in 12 hours. How many hours does pipe B alone take?
  16. 16.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?
  17. 17.Pipe A fills a tank in 8 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  18. 18.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?
  19. 19.Pipes A and B fill a tank in 4 and 8 hours. Pipe C empties the full tank in 3 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 4 and 9 hours. Pipe C empties the full tank in 3 hours. If all three are open, how many hours does the tank take to fill?
  21. 21.Pipe A fills a tank in 20 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  22. 22.Pipes A and B fill a tank in 10 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?
  23. 23.Pipe A fills a tank in 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  24. 24.Pipes A and B together fill a tank in 3 hours. Pipe A alone fills it in 6 hours. How many hours does pipe B alone take?
  25. 25.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?
  26. 26.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?
  27. 27.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?
  28. 28.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?
  29. 29.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?
  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 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?
  32. 32.Pipes A and B fill a tank in 7 and 14 hours. Pipe C empties the full tank in 6 hours. If all three are open, how many hours does the tank take to fill?
  33. 33.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?
  34. 34.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?
  35. 35.A tap fills a tank in 12 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?
  36. 36.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?
  37. 37.Pipes A and B fill a tank in 12 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?
  38. 38.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?
  39. 39.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
  40. 40.A tap fills a tank in 3 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?

Answer key

  1. 3
  2. 100
  3. 10
  4. 30
  5. 48
  6. 12
  7. 26
  8. 45
  9. 32
  10. 4
  11. 60
  12. 4
  13. 12
  14. 18
  15. 12
  16. 12
  17. 6
  18. 12
  19. 24
  20. 36
  21. 12
  22. 40
  23. 5
  24. 6
  25. 16
  26. 5
  27. 2
  28. 36
  29. 12
  30. 4
  31. 60
  32. 21
  33. 6
  34. 6
  35. 48
  36. 3
  37. 36
  38. 10
  39. 2
  40. 6

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