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    Question

    Two inlet pipes 'A' and 'B' can fill an empty tank in 24

    minutes and 32 minutes, respectively. Another outlet pipe 'C' can empty the tank in 96 minutes. If all the three pipes are opened together, then find the time taken by them to fill the tank.
    A 15 minutes Correct Answer Incorrect Answer
    B 16 minutes Correct Answer Incorrect Answer
    C 18 minutes Correct Answer Incorrect Answer
    D 20 minutes Correct Answer Incorrect Answer

    Solution

    Let the total capacity of the tank be 96 litres (LCM of 24, 32, and 96).
    Efficiency of 'A' = 96 ÷ 24 = 4 litres/minute
    Efficiency of 'B' = 96 ÷ 32 = 3 litres/minute
    Efficiency of 'C' = 96 ÷ 96 = -1 litre/minute
    Required time = 96 ÷ (4 + 3 - 1) = 96 ÷ 6 = 16 minutes

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