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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 42 · 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 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?
  2. 2.Pipe A fills a tank in 20 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  3. 3.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?
  4. 4.Pipe A fills a tank in 4 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  5. 5.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?
  6. 6.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
  7. 7.Pipe A fills a tank in 8 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  8. 8.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?
  9. 9.A tap fills a tank in 4 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?
  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 together fill a tank in 7 hours. Pipe A alone fills it in 8 hours. How many hours does pipe B alone take?
  12. 12.Pipes A and B fill a tank in 9 and 18 hours. Pipe C empties the full tank in 7 hours. If all three are 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.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?
  15. 15.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?
  16. 16.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?
  17. 17.Pipe A fills a tank in 15 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  18. 18.Pipes A and B fill a tank in 12 and 16 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.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?
  20. 20.Pipes A and B fill a tank in 5 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?
  21. 21.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?
  22. 22.Pipes A and B fill a tank in 2 and 12 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.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?
  24. 24.Pipes A and B together fill a tank in 10 hours. Pipe A alone fills it in 15 hours. How many hours does pipe B alone take?
  25. 25.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?
  26. 26.Pipes A and B fill a tank in 6 and 15 hours. Pipe C empties the full tank in 30 hours. If all three are open, how many hours does the tank take to fill?
  27. 27.A tap fills a tank in 4 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?
  28. 28.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?
  29. 29.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?
  30. 30.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?
  31. 31.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?
  32. 32.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?
  33. 33.A tap fills a tank in 18 hours. A leak at the bottom empties the full tank in 27 hours. With both open, how many hours does the tank take to fill?
  34. 34.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?
  35. 35.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?
  36. 36.Pipes A and B together fill a tank in 8 hours. Pipe A alone fills it in 12 hours. How many hours does pipe B alone take?
  37. 37.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?
  38. 38.Pipe A fills a tank in 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  39. 39.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?
  40. 40.Pipe A fills a tank in 10 hours and pipe B fills it in 15 hours. How many hours do both pipes take together?

Answer key

  1. 12
  2. 12
  3. 10
  4. 3
  5. 5
  6. 2
  7. 6
  8. 2
  9. 5
  10. 4
  11. 56
  12. 42
  13. 8
  14. 12
  15. 72
  16. 26
  17. 10
  18. 48
  19. 45
  20. 30
  21. 48
  22. 4
  23. 4
  24. 30
  25. 36
  26. 5
  27. 8
  28. 8
  29. 21
  30. 40
  31. 6
  32. 4
  33. 54
  34. 60
  35. 5
  36. 24
  37. 8
  38. 5
  39. 6
  40. 6

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