← Pipes and cisterns lesson New set →

Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 233 · 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.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?
  2. 2.Pipe A fills a tank in 10 hours and pipe B fills it in 15 hours. How many hours do both pipes take together?
  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 12 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  5. 5.Pipe A fills a tank in 5 hours and pipe B fills it in 20 hours. How many hours do both pipes take together?
  6. 6.Pipes A and B together fill a tank in 16 hours. Pipe A alone fills it in 24 hours. How many hours does pipe B alone take?
  7. 7.A tap fills a tank in 15 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?
  8. 8.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?
  9. 9.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?
  10. 10.Pipes A and B together fill a tank in 3 hours. Pipe A alone fills it in 12 hours. How many hours does pipe B alone take?
  11. 11.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?
  12. 12.Pipe A fills a tank in 8 hours and pipe B fills it in 24 hours. How many hours do both pipes take together?
  13. 13.A tap fills a tank in 10 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?
  14. 14.Pipes A and B fill a tank in 8 and 16 hours. Pipe C empties the full tank in 6 hours. If all three are open, how many hours does the tank take to fill?
  15. 15.Pipes A and B fill a tank in 5 and 15 hours. Pipe C empties the full tank in 4 hours. If all three are open, how many hours does the tank take to fill?
  16. 16.Pipe A fills a tank in 20 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  17. 17.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?
  18. 18.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?
  19. 19.A tap fills a tank in 11 hours. A leak at the bottom empties the full tank in 22 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 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?
  21. 21.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?
  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.Pipes A and B fill a tank in 12 and 15 hours. Pipe C empties the full tank in 8 hours. If all three are open, how many hours does the tank take to fill?
  24. 24.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?
  25. 25.A tap fills a tank in 18 hours. A leak at the bottom empties the full tank in 22 hours. With both open, how many hours does the tank take to fill?
  26. 26.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?
  27. 27.Pipes A and B fill a tank in 5 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?
  28. 28.Pipes A and B together fill a tank in 12 hours. Pipe A alone fills it in 18 hours. How many hours does pipe B alone take?
  29. 29.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?
  30. 30.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?
  31. 31.Pipes A and B fill a tank in 5 and 15 hours. Pipe C empties the full tank in 10 hours. If all three are open, how many hours does the tank take to fill?
  32. 32.A tap fills a tank in 7 hours. A leak at the bottom empties the full tank in 14 hours. With both open, how many hours does the tank take to fill?
  33. 33.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?
  34. 34.Pipes A and B together fill a tank in 8 hours. Pipe A alone fills it in 24 hours. How many hours does pipe B alone take?
  35. 35.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?
  36. 36.A tap fills a tank in 14 hours. A leak at the bottom empties the full tank in 21 hours. With both open, how many hours does the tank take to fill?
  37. 37.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?
  38. 38.A tap fills a tank in 10 hours. A leak at the bottom empties the full tank in 11 hours. With both open, how many hours does the tank take to fill?
  39. 39.A tap fills a tank in 10 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?
  40. 40.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?

Answer key

  1. 32
  2. 6
  3. 12
  4. 8
  5. 4
  6. 48
  7. 90
  8. 30
  9. 20
  10. 4
  11. 112
  12. 6
  13. 60
  14. 48
  15. 60
  16. 12
  17. 26
  18. 21
  19. 22
  20. 3
  21. 6
  22. 40
  23. 40
  24. 18
  25. 99
  26. 36
  27. 6
  28. 36
  29. 18
  30. 20
  31. 6
  32. 14
  33. 12
  34. 12
  35. 4
  36. 42
  37. 120
  38. 110
  39. 20
  40. 100

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude