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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 73 · 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 10 hours. Pipe A alone fills it in 12 hours. How many hours does pipe B alone take?
  2. 2.Pipes A and B fill a tank in 10 and 14 hours. Pipe C empties the full tank in 7 hours. If all three are open, how many hours does the tank take to fill?
  3. 3.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?
  4. 4.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?
  5. 5.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?
  6. 6.Pipe A fills a tank in 6 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  7. 7.A tap fills a tank in 14 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?
  8. 8.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?
  9. 9.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 18 hours. How many hours does pipe B alone take?
  10. 10.Pipe A fills a tank in 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  11. 11.Pipes A and B together fill a tank in 12 hours. Pipe A alone fills it in 20 hours. How many hours does pipe B alone take?
  12. 12.A tap fills a tank in 8 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?
  13. 13.Pipe A fills a tank in 12 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  14. 14.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?
  15. 15.Pipes A and B fill a tank in 12 and 15 hours. Pipe C empties the full tank in 20 hours. If all three are open, how many hours does the tank take to fill?
  16. 16.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 9 hours. How many hours does pipe B alone take?
  17. 17.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?
  18. 18.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?
  19. 19.A tap fills a tank in 6 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?
  20. 20.Pipes A and B fill a tank in 4 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?
  21. 21.Pipes A and B fill a tank in 9 and 18 hours. Pipe C empties the full tank in 15 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 9 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?
  23. 23.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?
  24. 24.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?
  25. 25.Pipe A fills a tank in 15 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  26. 26.A tap fills a tank in 20 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.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?
  28. 28.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?
  29. 29.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?
  30. 30.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?
  31. 31.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
  32. 32.Pipe A fills a tank in 8 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  33. 33.A tap fills a tank in 12 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?
  34. 34.A tap fills a tank in 12 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?
  35. 35.Pipes A and B fill a tank in 10 and 15 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 together fill a tank in 2 hours. Pipe A alone fills it in 4 hours. How many hours does pipe B alone take?
  37. 37.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?
  38. 38.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?
  39. 39.Pipe A fills a tank in 9 hours and pipe B fills it in 18 hours. How many hours do both pipes take together?
  40. 40.Pipes A and B together fill a tank in 4 hours. Pipe A alone fills it in 20 hours. How many hours does pipe B alone take?

Answer key

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

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