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    Question

    Time taken by 'X' and 'Y' to complete a work alone is 72

    days and 120 days respectively. Find the time taken by 'X' and 'Y' together to complete 25% of the work.
    A 18.18 days Correct Answer Incorrect Answer
    B 11.25 days Correct Answer Incorrect Answer
    C 24.20 days Correct Answer Incorrect Answer
    D 32.25 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total work be 360 units (LCM of 72 and 120) Efficiency of 'X' = (360 / 72) = 5 units/day Efficiency of 'Y' = (360 / 120) = 3 units/day Work to be completed = 25% of 360 = 90 units So, required time = (90 / (5 + 3)) = 90 / 8 = 11.25 days

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