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Pipes and Cistern


1. Two pipes can fill a cistern in 14 hours and 16 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom it took 32 minutes more to fill the cistern. In what time will the leakage empty the full cistern ?

106 hours

108 hours

110 hours

112 hours


2. A pipe A can fill a tank four times as fast as another pipe B. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone can fill the tank in:

180 min

160 min

144 min

136 min


3. Two pipes A and B can fill a cistern in 12 minutes and 15 minutes respectively while a third pipe C can empty the filled tank in 6 minutes. Pipe A and pipe B are kept open for 5 minutes in the beginning and then pipe C is also opened. In what time the cistern will be emptied ?

30 min

33 1/3 min

40 min

45 min


4. A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?

30 hours

32 hours

35 hours

40 hours


5. A pump can fill a tank in 2 hours but due to a leak, it took 2 1/3 hours to fill the tank. The leak can empty the tank in:

13 1/3 hours

10 hours

12 hours

14 hours


6. Two pipes, A and B, can fill a tank in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tank from empty state if pipe B is used for half the time and pipe A and pipe B fill it together for the other half ?

20 min

25 min

27 min

30 min


7. Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are opened simultaneously then the cistern is filled in 50 minutes. The third pipe alone can empty the cistern in:

90 min

100 min

110 min

120 min


8. A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely ?

6 min. to empty

6 min. to fill

9 min. to empty

9 min. to fill


9. Two pipes A and B can fill a tank in 9 hours and 3 hours respectively. If they are opened on alternate hours and if pipe A is opened first, how many hours, the tank will be filled?

4 hr

5 hr

5.5 hr

6 hr


10. Two pipes can fill a tank in 20 minutes and 24 minutes respectively and a waste pipe can empty 3 litres per minute. All he three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:

80 litres

100 litres

120 litres

180 litres