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Question 58
Two pipes A and B can fill a tank in 12 minutes and 15 minutes, respectively. When an outlet pipe C is also opened, then the three pipes together can fill the tank in 10 minutes. In how many minutes can C alone empty the full tank?
Solution
Time taken for Pipe A to fill the tank=12 minutes
Time taken for Pipe B to fill the tank=15 minutes
Time taken for Pipe C to empty the tank=x minutes
Therefore (1/12)+(1/15)-(1/x)=(1/10)
(1/x)=(1/12)+(1/15)-(1/10)
(1/x)=(5+4-6)/60
(1/x)=3/60
x=20 minutes
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