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Total No Of Questions: 30.
1) An empty cistern has three taps P, Q and R. P and Q can fill it in 3 and 4 hours respectively. R can empty it in one hour. If P, Q and R are kept opened at 1 P.M., 2 P.M., 3 P.M., respectively, find when the cistern will be empty?


2) Two pipes P and Q can separately fill a cistern in 12 minutes and 15 minutes respectively. While a third pipe R can empty it in 6 minutes. The pipes P and Q are kept open for 5 minutes, then the pipe R is also opened. In what time the cistern be emptied?


3) 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?


4) 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.


5) Two pipes P and Q can separately fill a cistern in 12 minutes and 24 minutes respectively. And a waste can drain off 20 gallons per minute. If all the three pipes are opened, the tank is filled in 24 minutes. What is the capacity of the tank?


6) 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?


7) One pipe can fill a tank 3 times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in________


8) Two pipes P and Q can fill a cistern in 60 minutes and 80 minutes respectively.Both the taps were opened simultaneously but Q is turned off after 20 minutes. Find the total time required to fill the cistern.


9) Two pipes P and Q can fill a tank in 40 and 60 minutes respectively. When the tank will be filled, if the pipes are opened in alternative minutes starting with pipe P?


10) A tap can fill a cistern in 20 minutes. And another can fill it in 30 minutes. If both are opened simultaneously, find the time when the cistern will be full?
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