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    Question

    If ‘X’ finishes a project in 24 days whereas ‘X’

    and ‘Y’ working together can finish it in 15 days, then determine the time ‘Y’ alone will take to finish the project.
    A 25 days Correct Answer Incorrect Answer
    B 40 days Correct Answer Incorrect Answer
    C 12 days Correct Answer Incorrect Answer
    D 27 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total work = 120 units {LCM (24 and 15)}

    Efficiency of ‘Y’ = (120/24) = 5 units/day

    Efficiency of ‘X’ and ‘Y’ together = (120/15) = 8 units/day

    Efficiency of ‘Y’ = (8 – 5) = 3 units/day

    Time taken by ‘Y’ to complete the project alone = (120/3) = 40 days

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