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    Question

    Riya completes 40% of a task in 24 days, while Siya

    finishes 30% of the same task in 27 days. Riya begins the task alone and stops after 30 days. How long will Siya take to finish the rest?
    A 45 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,

    Time taken by Riya to complete whole work = (24 / 0.40) = 60 days

    Time taken by Siya to complete whole work = (27 / 0.30) = 90 days

    Let total work = LCM of 60 and 90 = 180 units

    Efficiency of Riya = 180 / 60 = 3 units/day

    Efficiency of Siya = 180 / 90 = 2 units/day

    Work done by Riya in 30 days = 30 × 3 = 90 units

    Remaining work = 180 - 90 = 90 units

    Time taken by Siya = 90 / 2 = 45 days

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