Question: 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
Options:
A) $ 10\frac{1}{2}h $
B) 12 h
C) 21 h
D) 24 h
E) 28 h
Show Answer
Answer:
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 $