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    Question

    Pipes 'A' and 'B' have the capacity to fill a tank in 12

    hours and 15 hours, respectively. Conversely, pipe 'C' can drain the same tank in 20 hours. Initially, when the tank is empty, pipes 'A' and 'C' are turned on simultaneously and left running for 25 hours. Following this, pipe 'B' alone is used to complete the filling of the tank. Calculate the total duration required to fill the tank using this approach.
    A 27.5 hours Correct Answer Incorrect Answer
    B 30 hours Correct Answer Incorrect Answer
    C 28 hours Correct Answer Incorrect Answer
    D 25.4 hours Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the total capacity of the tank be 60 units Efficiency of pipe тАШAтАЩ = 60/12 = 5 units/hour Efficiency of pipe тАШBтАЩ = 60/15 = 4 units/hour Efficiency of pipe тАШCтАЩ = 60/20 = 3 units/hour Tank filled by pipe тАШAтАЩ and pipe тАШCтАЩ in 25 hours = 25 ├Ч (5 тАУ 3) = 50 units Time taken by pipe тАШBтАЩ to fill the remaining tank = (60 тАУ 50)/4 = 2.5 hours Therefore, total time taken to fill the tank = 25 + 2.5 = 27.5 hours Hence, option a.┬а

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