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    Question

    The ratio of efficiencies of X and Y for doing a certain

    work is 5 ∶ 9. Working together, they can complete a work in 15 days. X alone will complete 66(2/3)% of the same work in?
    A 28 days Correct Answer Incorrect Answer
    B 24 days Correct Answer Incorrect Answer
    C 35 days Correct Answer Incorrect Answer
    D 30 days Correct Answer Incorrect Answer

    Solution

    ATQ LCM (14, 15) = 210 Let the total work be 210 units. Work done each day by X and Y together = 210/15 ⇒ 14 units Work done by X each day = 14 × 5/(5 + 9) = 5 units Now, time taken by X to complete    66(2/3)% of the same work ⇒ (210 × 200/3 %) ÷ 5 ⇒ (210 × 2/3) ÷ 5 = 28 days

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