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    Question

    Pipe β€˜A’ can fill a tank in 25 hours while pipe

    β€˜B’ takes 30 hours to empty it. Pipe β€˜A’ is opened alone when the tank was empty and after 13 hours pipe β€˜B’ is also opened. In how much time will the tank get filled completely?
    A 80 hours Correct Answer Incorrect Answer
    B 84 hours Correct Answer Incorrect Answer
    C 85 hours Correct Answer Incorrect Answer
    D 81 hours Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the total capacity of the tank be 150 units Efficiency of pipe β€˜A’ = 150/25 = 6 units/hour Efficiency of pipe β€˜B’ = 150/30 = 5 units/hour Tank filled in 13 hours = 13 Γ— 6 = 78 units Therefore, required time taken to fill the remaining tank = (150 – 78)/(6 – 5) = 72 hours Therefore, total time taken = 13 + 72 = 85 hours

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