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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
Correct answer:
D) 40 h
Description for Correct answer:
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
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