Question

    Vikas does 65% of a job in 39 days, while Suman does 40% in

    40 days. Vikas worked for 18 days and left. Calculate how many days Suman would need to wrap up the remaining task.
    A 70 days Correct Answer Incorrect Answer
    B 61 days Correct Answer Incorrect Answer
    C 52 days Correct Answer Incorrect Answer
    D 35 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Vikas’ full-time = 39 / 0.65 = 60 days

    Suman’s full-time = 40 / 0.40 = 100 days

    Total work = LCM(60, 100) = 300 units

    Vikas’ efficiency = 300 / 60 = 5 units/day

    Suman’s efficiency = 300 / 100 = 3 units/day

    Work done by Vikas = 18 × 5 = 90 units

    Remaining work = 300 - 90 = 210 units

    Time by Suman = 210 / 3 = 70 days

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