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    Question

    R and S take 10 days and 15 days respectively to complete a

    task alone. If they alternate work every day starting with R, how much time will it take to finish the job?
    A 12 days Correct Answer Incorrect Answer
    B 18 days Correct Answer Incorrect Answer
    C 22 days Correct Answer Incorrect Answer
    D 32 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Total work = 30 units (LCM of 10 and 15)

    RтАЩs efficiency = (30 ├╖ 10) = 3 units/day

    SтАЩs efficiency = (30 ├╖ 15) = 2 units/day

    In 2 days = 3 + 2 = 5 units

    Time = (30 ├╖ 5) ├Ч 2 = 12 days

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