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    Question

    Pipe β€˜A’ can fill a tank in 22 hours while pipe

    β€˜B’ takes 25 hours to empty it. Pipe β€˜A’ is opened alone when the tank was empty and after 16 hours pipe β€˜B’ is also opened. In how much time will the tank get filled completely?
    A 60 hours Correct Answer Incorrect Answer
    B 64 hours Correct Answer Incorrect Answer
    C 66 hours Correct Answer Incorrect Answer
    D 61 hours Correct Answer Incorrect Answer

    Solution

    Let the total capacity of the tank be 550 units Efficiency of pipe β€˜A’ = 550/22 = 25 units/hour Efficiency of pipe β€˜B’ = 550/25 = 22 units/hour Tank filled in 16 hours = 16 Γ— 25 = 400 units Therefore, required time taken to fill the remaining tank = (550 – 400)/(25 – 22) = 50 hours Therefore, total time taken = 16 + 50 = 66 hours

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