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    Question

    Efficiencies of workers A, B, and C are in the ratio 5:7:8

    respectively. If B and C can do the work in 9 days, then in how many days can A and B finish the work together?
    A 14.29 days Correct Answer Incorrect Answer
    B 26.55 days Correct Answer Incorrect Answer
    C 19.25 days Correct Answer Incorrect Answer
    D 11.25 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let efficiencies of A, B, and C be 5x, 7x, and 8x units/day respectively.

    Total work = (7x + 8x) × 9 = 135x units

    Required time = 135x ÷ (5x + 7x) = 135x ÷ 12x = 11.25 days

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