| An electric pump can fill a tank in 3 h. Because of a leak in the tank, it took \[3\frac{1}{2}h\] to fill the tank. The leak can drain out all the water of the tank in |
A) \[10\frac{1}{2}h\]
B) 12 h
C) 21 h
D) 24 h
E) 28 h
Correct Answer: C
Solution :
| Let the leak can drain out water in x h. |
| Then, according to the question, |
| \[\frac{1}{3}-\frac{1}{x}=\frac{2}{7}\] |
| \[\Rightarrow \] \[\frac{1}{x}=\frac{1}{3}-\frac{2}{7}\] |
| \[\Rightarrow \] \[\frac{1}{x}=\frac{7-6}{21}=\frac{1}{21}\] |
| \[\Rightarrow \] \[\frac{1}{x}=\frac{1}{21}\]\[\Rightarrow \]\[x=21\,h\] |
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