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A pipe can fill an overhead tank in 12 hours. But due to a leak at the bottom, it is filled in 18 hours. If the tank is full, how much time will the leak take to empty it?

SSC · 2024 · Quantitative Aptitude
Question:
A pipe can fill an overhead tank in 12 hours. But due to a leak at the bottom, it is filled in 18 hours. If the tank is full, how much time will the leak take to empty it?

Options

(1) 3.6 hours
(2) 63 hours
(3) 7.2 hours
(4) 36 hours
Answer: (4) 36 hours

Explanation:
Work done by leak = 1/12 - 1/18 = 1/36. Time to empty = 36 hours.

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