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    Question

    A pipe can fill a tank in 18 minutes, while another can

    empty it in 27 minutes. If both pipes are opened simultaneously, how long will it take to fill the tank?
    A 54 minutes Correct Answer Incorrect Answer
    B 81 minutes Correct Answer Incorrect Answer
    C 72 minutes Correct Answer Incorrect Answer
    D 90 minutes Correct Answer Incorrect Answer

    Solution

    Work done by the filling pipe in 1 minute = 1/18 Work done by the emptying pipe in 1 minute = -1/27 Net work done in 1 minute = (1/18 - 1/27) = 1/54 Time taken to fill the tank = 1 ÷ 1/54 = 54 minutes. Correct answer: a) 54 minutes

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