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Previous Year Question (PYQs)

A liquid container is usually filled up in 8 hours. Due to a leak since the beginning, it took 2 hours more to fill the container. The leak could empty the filled container in:




Solution

Let leak alone empty the tank in x hours. Normal filling rate = 1/8 per hour With leak → filled in 10 hours → net rate = 1/10 So, 1/8 − 1/x = 1/10 ⇒ 1/x = 1/8 − 1/10 = (5 − 4)/40 = 1/40 Hence, leak alone can empty in 40 hours.

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