| 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? |
A) \[(x-y)\]
B) \[(y-x)\]
C) \[\frac{xy}{x-y}\]
D) \[\frac{xy}{y-x}\]
Correct Answer: D
Solution :
| Part of the tank filled in,\[1\,\,h=\frac{1}{x}\] |
| 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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