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    Question

    Anu can finish 25% of an assignment in 10 days, whereas

    Tanya can do 30% in 12 days. Anu works on it for 16 days and leaves. How long will Tanya take to wrap up the remaining work?
    A 48 days Correct Answer Incorrect Answer
    B 24 days Correct Answer Incorrect Answer
    C 32 days Correct Answer Incorrect Answer
    D 72 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Time taken by Anu to complete whole work = (10 / 0.25) = 40 days

    Time taken by Tanya to complete whole work = (12 / 0.30) = 40 days

    Let the total work be 120 units (LCM of 40 and 40)

    Efficiency of Anu = (120 / 40) = 3 units/day

    Efficiency of Tanya = (120 / 40) = 3 units/day

    Work completed by Anu in 16 days = 16 × 3 = 48 units

    Remaining work = 120 - 48 = 72 units

    Therefore, required time = (72 / 3) = 24 days

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