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    Question

    Two inlet pipes 'A' and 'B' can fill an empty tank in 60

    minutes and 90 minutes, respectively. Another outlet pipe 'C' can empty the tank in 180 minutes. If all the three pipes are opened together, then find the time taken by them to fill the tank.
    A 40 minutes Correct Answer Incorrect Answer
    B 42 minutes Correct Answer Incorrect Answer
    C 44 minutes Correct Answer Incorrect Answer
    D 45 minutes Correct Answer Incorrect Answer
    E 46 minutes Correct Answer Incorrect Answer

    Solution

    Let the total capacity of the tank be 180 litres (LCM of 60, 90, and 180).
    Efficiency of 'A' = 180 ÷ 60 = 3 litres/minute
    Efficiency of 'B' = 180 ÷ 90 = 2 litres/minute
    Efficiency of 'C' = 180 ÷ 180 = -1 litre/minute
    Required time = 180 ÷ (3 + 2 - 1) = 180 ÷ 4 = 45 minutes

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