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# A pipe can fill a tank in 20 h. Due to a leak in the bottom, it is filled in 40 h. If the tank is full, how much time will the leak take to empty it?

 A) 40 h B) 30 h C) 50 h D) 30 h

 A) 40 h

Let the leak empties the full tank in x h then

Part emptied in 1 h by leak = $$\Large \frac{1}{x}$$

Part filled by inlet in 1 h = $$\Large \frac{1}{20}$$

According to the question.

$$\Large \frac{1}{20}$$+$$\Large \frac{1}{x}$$=$$\Large \frac{1}{40}$$

Therefore, $$\Large \frac{1}{x}$$ = $$\Large \frac{1}{40}$$-$$\Large \frac{1}{20}$$

= $$\Large \frac{1-2}{40}$$= $$\Large - \frac{1}{40}$$

Clearly, leak will empty the full tank in 40 h

Part of solved Pipes and Cisterns questions and answers : >> Aptitude >> Pipes and Cisterns

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