Question

    Karan is capable of doing 50% of a job in 25 days, while

    Meera does 25% of it in 20 days. Karan works for 20 days and then leaves. How many days will Meera take to complete the remaining task?
    A 48 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,

    Karan’s full-time = 25 / 0.50 = 50 days

    Meera’s full-time = 20 / 0.25 = 80 days

    Total work = LCM(50, 80) = 400 units

    Karan’s efficiency = 400 / 50 = 8 units/day

    Meera’s efficiency = 400 / 80 = 5 units/day

    Work done by Karan = 20 × 8 = 160 units

    Remaining work = 400 - 160 = 240 units

    Time by Meera = 240 / 5 = 48 days

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