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QA – Placement Quizzes | Pipes and Cisterns | Question 8

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Two pipes A and B can fill a tank in 10 hours and 30 hours respectively. Due to a leak in the tank, it takes 2.5 hours more to fill the tank. How much time would the leak alone will take to empty the tank ? (A) 20 hours (B) 25 hours (C) 30 hours (D) 35 hours

Answer: (C)

Explanation: Let the capacity of the tank be LCM (10, 30) = 30 units => Efficiency of pipe A = 30 / 10 = 3 units / hour => Efficiency of pipe B = 30 / 30 = 1 units / hour => Combined efficiency of both pipes = 4 units / hour Now, total time taken by A and B working together to fill the tank if there was no leak = 30 / 4 = 7.5 hours => Actual time taken = 7.5 + 2.5 = 10 hours   The tank filled by A and B in these 2.5 hours is the extra work done to compensate the wastage by the leak in 10 hours. => 2.5 hours work of A and B together = 10 hours work of the leak => 2.5 x 4 = 10 x E, where ‘E’ is the efficiency of the leak. => E = 1 unit / hour   Therefore, time taken by the leak alone to empty the full tank = 30 / 1 = 30 hours

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Last Updated : 28 Jun, 2021
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