feruz77 wrote:

There is a leak in the bottom of the tank. This leak can empty a full tank in 8 hr. When the tank is full, a tap is opened into the tank which intakes water at rate of 6 liter per hr. and the tank is now emptied in 12 hr. What is the capacity of the tank?

A. 28.3 liter

B. 36 liter

C. 144 liter

D. 150 liter

E. cannot be determined

We know total water in the tank, when it is full, is 100%

Leak can empty a full tank in 8 hr. -----------> Leak is emptying

\frac{100}{8} i.e. 12.5% tank in one hour. ----------> Stat I

Tap intakes water at rate of 6 liter per hr. Lets assume tap can fill P% tank in one hour ------------ Stat II

Tank is now emptied in 12 hr. ---------> 100/12 ----> 8.33% Tank is now emptied in one hour.

Using Statement I and II we have that 8.33 = 12.5 - P% -------> P% = 4.17%

We know Tap is filling 6 liters per hour. We also know tap is filling 4.17% of the tank in on hour. That means 6 liter = 4.17% of tank's total capacity, so tanks total capacity is

\frac{6*100}{4.17} OR 144 liters.

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