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    Question

    X and Y can complete a task together in 24 days, while Y

    alone takes 48 days to finish it. X worked alone for some days and then Y completed the rest of the work in 36 days. What percentage of the total work was completed by X?
    A 15% Correct Answer Incorrect Answer
    B 10% Correct Answer Incorrect Answer
    C 25% Correct Answer Incorrect Answer
    D 35% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let total work = 48 units

    Efficiency of (X + Y) = 48 / 24 = 2 units/day

    Efficiency of Y = 48 / 48 = 1 unit/day

    Work done by Y = 36 × 1 = 36 units

    Work done by X = 48 – 36 = 12 units

    Percentage of work done by X = (12 / 48) × 100 = 25%

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