# Pipes and Cistern Problems

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## Model Questions and And Answers for Pipes and Cistern Problems

1. Two pipes can fill a tank in 10 h and 16h respectively. A third pipe can empty the tank in 32 h. If all the three pipes function simultaneously, then in how much time the tank will be full? (in hours)

- 7\frac {11}{12 }
- 7\frac {13}{12 }
- 8\frac {4 }{21 }
- 6\frac {5 }{14 }
- 8\frac { 9}{ 14}

2. Pipes A and B can fill a tank in 5 and 6 hours, respectively. Pipe C can empty it in 12 hours. The tank is half full. All the three pipes are in operation simultaneously. After how much time, the tank will be full?

- 3\frac {9 }{17 }h
- 11h
- 2\frac {8 }{1 }h
- 1\frac {13}{17}h
- None of these

3. A tap can empty a tank in 30 minutes. A second tap can empty it in 45 minutes. If both the taps operate simultaneously, how much time is needed to empty the tank?

- 18 minutes
- 14 minutes
- 15 minutes
- 30minutes
- None of these

4. Two pipes A and B can fill a cistern in 30 minutes and 40 minutes respectively. Both the pipes are opened. Find when the second pipe B must be turned off so the cistern may just be full in 10 minutes.

- 265 min
- 25min
- 405 min
- 42min
- None of these

5. Pipe A can fill a tank in 30 minutes while pipe B can fill it in 45 minutes. An other pipe C can empty a full tank in 60 minutes, If all three pipes are opened simultaneously, the empty tank will be filled in

- \frac {2 }{7}h
- \frac {3}{7}h
- \frac {4}{7}h
- \frac {5}{7}h
- None of these

6. Three pipes P, Q and R can fill a tank in 12, 15 and 20 minutes respectively. If pipe P is opened all the time and pipe Q and R are opened for one hour alternatively. The tank will be full in

- 5hr
- 6hr
- 7hr
- 8hr
- None of these

7. Three pipes A, B, and C can fill the tank in 10 hours, 20 hours and 40 hours respectively. In the beginning all of them are opened simultaneously. After 2 hours, tap C is closed and A and B are kept running. After the 4th hour, tap B is also closed. The remaining work is done by tap A alone. What is the percentage of the work done by tap A alone?

- 30%
- 35%
- 45%
- 50%
- None of the above

8. Three pipes P, Q and R can fill a tank in 12 minutes, 18 minutes and 24 minutes respectively. The pipe R is closed 12 minutes before the tank is filled. In what time the tank is full?

- 8\frac {5}{13}hrs
- 8\frac {4}{13}hrs
- 7\frac {4}{13}hrs
- 8\frac {6}{13}hrs
- None of these

9. Pipes A and B can fill a cistern in 15 hours together. But if these pipes operate separately A takes 40 hours less than B to fill the tank. In how many hours the pipe A will fill the cistern working alone?

- 60
- 20
- 40
- 15
- 25

10. There are 4 filling pipes and 3 emptying pipes capable of filling and emptying in 12 minutes and 15 minutes respectively. If all the pipes are opened together and as a result they fill 10 litres of water per minute. Find the capacity of the tank.

- 65ltr
- 70Itr
- 75ltr
- 80ltr
- None of these

11. One pipe P is 4 times faster than pipe Q and takes 45 minutes less than pipe Q. In what time the cistern is full if both the pipes are opened together?

- 8 minutes
- 10 minutes
- 12 minutes
- 14 minutes
- None of these

12. Two pipes A and B can fill a tank in 15 hours and 20 hours respectively while a third pipe C can empty the full tank in 25 hours. All the three pipes are opened in the beginning. After 10 hours, C is closed. Now how much time more is required to fill the tank?

- 2hrs
- 3hrs
- 6hrs
- 1 hrs
- None of these

13. A bath tub can be filled with the cold water pipe in 10 minutes and by hot water pipe in 15 minutes (independently each). A person leaves the bathroom after turning on both pipes simultaneously and returns at the moment when the bath should be full. Finding, however, that the waste pipe has been opened he now closes it. In 4 minutes more, the bath is full. In what time would be the waste pipe empty it?

- 6 minutes
- 9 minutes
- 3 minutes
- 15 minutes
- None of these

14. A tap can fill a tank in 16 hours whereas another tap can empty the tank it in 8 hours. If in a three fourth filled tank both the taps are opened, then how long will it take to empty the tank in this scenario?

- 6hours
- 8hours
- 10hours
- 12 hours
- 14 hours

15. If pipes A and B can fill a tank in 18 min and 24 mins respectively and pipe C empties the tank in 12 mins. What will be the time taken by A, B and C together to fill the tank completely?

- 36
- 72
- 54
- 96
- 12

16. A tank is to be filled by two pipes P and Q. P can fill the tank in 4 hours and Q can fill in 6 hours. It is found that a hole is located at one quarter of the height from the bottom which leaks 3 litres of water per 4 minutes. When two pipes are opened (tank is empty), the tank will be full in 2 hour 36 minutes. Find the capacity of the tank.

- 1400 liters
- 1200 liters
- 1600 liters
- 1080 liters
- 1250 liters

17. The water in a rectangular reservoir having a base 80 m by 60 m is 6.5 m deep. In what time can the water be emptied by a pipe of which the cross-section is a square of side 20 cm, if the water runs through the pipe at the rate of 15 km per hour?

- 40hrs.
- 58hrs.
- 54hrs.
- 52hrs.
- None of these

18. Two inlet taps A and B can fill a tank in 32 minutes and 48 minutes respectively. Find the time taken by both the taps together to fill \frac {1}{6} th of the tank?

- 4 minutes
- 32 minutes
- 35 minutes
- 35 minutes
- 2 minutes

19. A tap can fill a cistern in 8 hours and another can empty it in 16 hours. If both the taps are opened simultaneously the time (in hours) to fill the tank is

- 8
- 10
- 16
- 24

20. One tap can fill a cistern in 2 hours and another can empty the cistern in 3 hours. How long will they take to fill the cistern if both the taps are opened?

- 5 hours
- 6 hours
- 7 hours
- 8 hours

21. To fill a cistern, pipes A, B and C take 20 minutes, 15 minutes and 12 minutes respectively. The time in minutes that the three pipes together will take to fill the cistern is

- 5
- 10
- 12
- 15\frac {2}{3}

22. Two pipes can fill a tank in 10 hours, 12 hours respectively while a third pipe empties the full tank in 20 hours. If all the three pipes operate simultaneously, in how much time the tank will be filled?

- 7 hours
- 8 hours
- 7 hours 30 minute
- 8 hours 30 minute.

23. Pipe A can fill a tank in 4 minutes whereas pipes A and 8 can fill the same tank in 3 minutes, How much time will pipe B take to fill the tank?

- 5 min
- 10min
- 7 min
- None of these.

24. A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in

- 16 hours
- 20 hours
- 25 hours
- 40 hours

25. An electric pump can fill a tank in 3 hours. Because of a leak in the tank, it took 3 ; hours to fill the tank. The leak can drain out all the water of the tank in

- 10.5 hours
- 12 hours
- 21 hours
- 24 hours

26. A cistern can be filled in 9 hours but it takes 10 hours due to a leak in its bottom. If the cistern is full, then the time that the leak will take to empty it, is

- 60 hours
- 70 hours
- 80 hours
- 90 hours

27. A pump can fill a tank in 5 hours. Because of a leak in the tank, it took 6 hours to fill the tank. The leak can empty the tank in the time

- 30 hours
- 20.5 hours
- 16.0 hours
- 11.0 hours

28. One tap can fill a cistern in 2 hours and another tap can empty the cistern in 3 hours. How long will they take to fill the cistern if both the taps are opened?

- 5 hours
- 6 hours
- 7 hours
- 8 hours

29. A tank can be filled by a tap in 20 minutes and by another tap in 60 minutes. Both the taps are kept open for 10 minutes and then the first tap is shut off. After this, the tank will be completely filled in

- 10min
- 12 min
- 15 min
- 20 min

30. Two pipes can fill a tank in 12 and 15 minutes respectively and an exhaust pipe fitted in the bottom of the tank can empty it at the rate of 10 litre/min. If the tank is empty and all the three pipes are open the tank fills in 8 minutes, capacity of tank in litres is

- 400
- 180
- 300
- None of these