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    Question

    Pipe 'A' is 4 times as efficient as pipe 'B'. Pipe 'C',

    which is one-fourth as efficient as pipe 'B', can fill a tank alone in 32 hours. Find difference between time taken by pipe 'C' to fill 50% of the tank and time taken (in minutes) by pipe 'A' to fill the tank completely.
    A 900 minutes Correct Answer Incorrect Answer
    B 720 minutes Correct Answer Incorrect Answer
    C 840 minutes Correct Answer Incorrect Answer
    D 780 minutes Correct Answer Incorrect Answer

    Solution

    Let the efficiency of pipe 'C' be 'x' litres/hour.
    So, total capacity of the tank = '32x' litres.

    Efficiency of pipe 'A' = x × 4 × 4 = '16x' litres/hour
    So, time taken by pipe 'A' to fill the tank = 32x / 16x = 2 hours

    And, time taken by pipe 'C' to fill 50% of the tank = (32x × 0.5) / x = 16 hours

    So, required difference = 16 - 2 = 14 hours = 14 × 60 = 840 minutes

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