Question
A pipe can fill an overhead tank in 12 hours. But due to
a leak at the bottom, it is filled in 18 hours. If the tank is full, how much time will the leak take to empty it?Solution
Pipe's filling rate without leak = (1/12) of the tank per hour. Pipe's filling rate with leak = (1/18) of the tank per hour. Leak's emptying rate = (1/12) - (1/18) = 1/36 of the tank per hour. Time for leak to empty full tank = (1/{1/36}) = 36 hours.
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