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    Question

    C is 50% more efficient than D and can complete a task in

    18 days. C and D work together for 6 days, after which D leaves. In how many more days will C finish the rest of the task?
    A 12 days Correct Answer Incorrect Answer
    B 8 days Correct Answer Incorrect Answer
    C 10 days Correct Answer Incorrect Answer
    D 21 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Time taken by D to complete the work = 1.5 × 18 = 27 days

    Let the total work be 108 units

    Efficiency of C = 108/18 = 6 units/day

    Efficiency of D = 108/27 = 4 units/day

    Work completed in 6 days = (6 + 4) × 6 = 60 units

    Remaining work = 108 - 60 = 48 units

    Therefore, x = 48 / 6 = 8 days

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