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    Question

    Pipe тАШAтАЩ can fill a tank in 20 hours while pipe

    тАШBтАЩ takes 32 hours to empty it. Pipe тАШAтАЩ is opened alone when the tank was empty and after 14 hours pipe тАШBтАЩ is also opened. In how much time will the tank get filled completely?
    A 32 hours Correct Answer Incorrect Answer
    B 33 hours Correct Answer Incorrect Answer
    C 30 hours Correct Answer Incorrect Answer
    D 35 hours Correct Answer Incorrect Answer

    Solution

    Let the total capacity of the tank be 160 units Efficiency of pipe тАШAтАЩ = 160/20 = 8 units/hour Efficiency of pipe тАШBтАЩ = 160/32 = 5 units/hour Tank filled in 14 hours = 14 ├Ч 8 = 112 units Therefore, required time taken to fill the remaining tank = (160 тАУ 112)/(8 тАУ 5) = 16 hours Therefore, total time taken = 14 + 16 = 30 hours

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