Question

A pipe can fill the empty tank in 15 minutes. If
there is a leak in the bottom of the tank, then the
tank is filled in 75 minutes, what is the time taken by
the pipe can fill the tank if the leak in the middle of
the tank?
a) 11 minutes
b) 12.5 minutes
c) 14 minutes
d) 15.5 minutes
e) 10.5 minutes

Answer 1

A pipe can fill a tank in 18 hours. Due to a leak in the bottom, it is filled in 26 hours. If the tank is full, how much time will the leak take to empty it?

Given,

Pipe takes 18 hrs to fill the tank and it takes 26 hrs when the leak operates.

Let's assume that the total capacity of tank is 234 liters. (LCM of 18 and 26 is 234)

The efficiency of pipe is 234/18 = 13 lts per hr.

Efficiency of pipe and the leak together is 234/26 = 9 lts per hr.

Hence the leak can empty the tank at a rate of 4 lts per hr.

Hence, the time taken by the leak to empty the full tank is 234/4 = 58.8

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