Quantitative Aptitude Ques 837

Question: A pipe can fill a tank in x h and another pipe can empty it in $ y(y>x)h. $ If both the pipes are open, in how many hours will the tank be filled?

Options:

A) $ (x-y) $

B) $ (y-x) $

C) $ \frac{xy}{x-y} $

D) $ \frac{xy}{y-x} $

Show Answer

Answer:

Correct Answer: D

Solution:

  • Part of the tank filled in, $ 1h=\frac{1}{x} $ Part at the tank emptied in $ 1h=\frac{1}{y} $ Part of the tank filled in 1 h when both are opened $ =\frac{1}{x}-\frac{1}{y}=\frac{y-x}{xy} $

$ \therefore $ Tank will be filled in $ \frac{xy}{y-x}h. $

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