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# Through an inlet, a tank takes 8 h to get filled up. Due to a leak in the bottom, it takes 2 h more to get it filled completely. If the tank is full, how much time will the leak take to empty it?

 A) 16 h B) 20 h C) 32 h D) 40 h

 D) 40 h

Let the leak takes x h to empty the tank.

Now. part filled by inlet in 1 h = $$\Large \frac{1}{8}$$

Part filled in 1 h when both tap and leak works together

= $$\Large \frac{1}{8+2}$$ = $$\Large \frac{1}{10}$$

According to the question,

= $$\Large \frac{1}{x}$$ = $$\Large \frac{1}{8}$$-$$\Large \frac{1}{10}$$=$$\Large \frac{5-4}{40}$$ = $$\Large \frac{1}{40}$$

Therefore, x = 40 h

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

Similar Questions
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 A). 25 h B). 40 h C). 30 h D). 35 h
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3). Two pipes P and Q can fill a cistern in 12 and 15 min, respectively. If both are opened together and at the end of 3 min, the first is closed. How much longer will the cistern take to fill?
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