Question 150

A pipe can fill a tank in 32 minutes. Due to a leakage, the tank gets filled in 48 minutes. The time the leakage will take to empty the full tank is:

Solution

LCM of$$(32,48)=96$$.

Let say,it will take X minutes to empty the full tank.

So,$$((1/32)-(1/X))=(1/48)$$

Or,$$(1/X)=(1/32)-(1/48)$$

or,$$(1/X)=(3-2)/96$$

or,$$1/X=1/96.$$

So,$$X=96.$$

So,it will take 96 minutes or 1 hour 36 minutes to fill the tank.

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