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    Question

    Pipe β€˜A’ can fill a tank in 20 hours while pipe

    β€˜B’ takes 25 hours to empty it. Pipe β€˜A’ is opened alone when the tank was empty and after 14 hours pipe β€˜B’ is also opened. In how much time will the tank get filled completely?
    A 40 hours Correct Answer Incorrect Answer
    B 41 hours Correct Answer Incorrect Answer
    C 44 hours Correct Answer Incorrect Answer
    D 43 hours Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the total capacity of the tank be 100 units Efficiency of pipe β€˜A’ = 100/20 = 5 units/hour Efficiency of pipe β€˜B’ = 100/25 = 4 units/hour Tank filled in 14 hours = 14 Γ— 5 = 70 units Therefore, required time taken to fill the remaining tank = (100 – 70)/(5 – 4) = 30 hours Therefore, total time taken = 14 + 30 = 44 hours

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