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    Question

    Two workers, ‘X’ and ‘Y’, can finish a job in 25

    days together. If ‘X’ is 25% more efficient than ‘Y’, find the number of days ‘Y’ alone would take to complete the job.
    A 78 days Correct Answer Incorrect Answer
    B 48 days Correct Answer Incorrect Answer
    C 68 days Correct Answer Incorrect Answer
    D 98 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the efficiency of ‘Y’ be 8x units. Efficiency of ‘X’ = 8x × 1.25 = 10x units Total work = 25 × (8x + 10x) = 450x units Time taken by ‘Y’ alone = 450x ÷ 8x = 56.25 days

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