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    Question

    Pipe тАШPтАЩ and pipe тАШQтАЩ can fill a tank alone in

    24 hours and 48 hours, respectively. If both pipes are opened together and pipe тАШPтАЩ is closed after 8 hours, then find the time taken by pipe тАШQтАЩ to fill the remaining portion alone.
    A 16 hours Correct Answer Incorrect Answer
    B 20 hours Correct Answer Incorrect Answer
    C 12 hours Correct Answer Incorrect Answer
    D 24 hours Correct Answer Incorrect Answer

    Solution

    Let the capacity of the tank be 48 units (LCM of 24 and 48) Efficiency of pipe тАШPтАЩ = 48 ├╖ 24 = 2 unit/hour
    Efficiency of pipe тАШQтАЩ = 48 ├╖ 48 = 1 unit/hour Let pipe тАШQтАЩ fill the remaining portion in x hours. ATQ, 8 ├Ч (2 + 1) + 1x = 48 Or, 24 + x = 48 Or, x = 24 Therefore, required time taken = 24 hours

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