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Total No Of Questions: 30.
1) Two pipes P and Q can fill a cistern in 12 minutes and 15 minutes respectively, while a third pipe R can empty the full cistern in 6 minutes. P and Q are kept open for 5 minutes in the beginning and then R is also opened. In what time the cistern is emptied?


2) A pipe can fill a tank in 20 minutes and another pipe in 30 minutes, but a third pipe can empty it in 10 minutes. The first two pipes are kept open for 8 minutes in the beginning and then the third pipe is also opened. In what time is the cistern emptied?


3) Two pipes can fill half of the tank in 20 minutes. If one of the pipe fills the whole tank in 60 minutes, find the time taken by the other pipe to fill the tank individually?


4) Two pipes P and Q can fill a cistern in 15 and 20 hours respectively, while a third pipe R can empty the full tank in 25 hours. All the three pipes are opened. After 10 hours R is closed. The tank will be full in how many hours?


5) Two pipes P and Q can fill a cistern in 24 minutes and 32 minutes respectively. If both are opened simultaneously, after how much time Q should be closed, so that the tank is full in 18 minutes?


6) A tank can be filled separately by two pipes P and Q in 45 and 36 minutes respectively. A tap R at the bottom can empty the full cistern in 30 minutes. If the tap R is opened 7 minutes after the two pipes P and Q are opened, find when the tank becomes full.


7) Two pipes can fill a cistern in 20 minutes and 24 minutes respectively. And a drain pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is ________


8) A cistern normally takes 7 hours to be filled by a tap, but because of a leak it takes one hour more. In how many hours will the leak empty a filled cistern?


9) A tank has a leak, which could empty it in 8 hours. A tap is turned on which admits 6 litres a minute into the cistern and it is now emptied in 12 hours. How many litres does the cistern hold?


10) Bucket P has thrice the capacity as Bucket Q. It takes 60 turns for Bucket P to fill the empty drum. How many turns will it take for both the buckets P and Q having each turn together to fill the empty drum?
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