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    Question

    Rahul does half the work done by Karan in 2/3 of the time.

    If they together can complete the work in 14 days, how much time will Karan take to complete the work?
    A 10.5 days Correct Answer Incorrect Answer
    B 24.5 days Correct Answer Incorrect Answer
    C 45.5 days Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    Let time taken by Karan to complete the work = t days

    Rahul takes 2 × (2t/3) = 4t/3 days.

    Efficiency of Karan = 1/t,

    Efficiency of Rahul = 3/4t.

    Total efficiency = 1/t + 3/4t = 1/14
    Image
    Solving for t, we get t = 24.5 days.

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