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Total No Of Questions: 30.
1) 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.


2) Three taps can fill a cistern in 10, 15 and 18 minutes respectively. In an empty cistern all the three taps are kept open and after three minutes the third tap is closed. In how many minutes more will the cistern be full?


3) A tap can fill a cistern in 16 hours and another can empty it in 32 hours. If both the taps are opened simultaneously,find the time (in hours) to fill the tank.


4) 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?


5) A tap can fill a cistern in 12 hours and another empties in 10 hours. If both are opened at the same time, how much time will it take to fill the cistern?


6) Two taps can fill an empty tank in 36 minutes and 60 minutes respectively. A third tap can empty the full tank in 90 minutes. At what time will an empty tank be filled if all the three are opened simultaneously at 8.50 A.M.?


7) Three pipes P, Q and R are connected to a cistern. P and Q together can fill the cistern in 12 hrs, Q and R together in 20 hrs and R and P together in 15 hrs. In how much time will each pipe fill the cistern separately?


8) Two pipes P and Q can fill a cistern in 12 minutes and 18 minutes respectively, while a third pipe R can empty it in 9 minutes. In what time will the cistern will be full, if they all work simultaneously?


9) 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?


10) 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?
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