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    Question

    Alok finishes 60% of a project in 30 days, while Neha

    finishes 20% of the same in 15 days. Alok worked for 25 days and then stopped. Find the time taken by Neha to complete the remaining project.
    A 75.5 days Correct Answer Incorrect Answer
    B 61.5 days Correct Answer Incorrect Answer
    C 52.5 days Correct Answer Incorrect Answer
    D 37.5 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Alok’s total time = 30 / 0.60 = 50 days

    Neha’s total time = 15 / 0.20 = 75 days

    Total work = LCM(50, 75) = 150 units

    Efficiency of Alok = 150 / 50 = 3 units/day

    Efficiency of Neha = 150 / 75 = 2 units/day

    Work done by Alok = 25 × 3 = 75 units

    Remaining work = 150 - 75 = 75 units

    Time by Neha = 75 / 2 = 37.5 days

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