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    Question

    β€˜M’ is 60% more efficient than β€˜N’. β€˜N’

    started the work alone and worked for 24 days and after that β€˜N’ is replaced by β€˜M’. If the total work is completed in 44 days, find the time taken by β€˜M’ to finish the same work alone?
    A 30 days Correct Answer Incorrect Answer
    B 36 days Correct Answer Incorrect Answer
    C 35 days Correct Answer Incorrect Answer
    D 38 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the efficiency of β€˜N’ = β€˜5x’ units/day Efficiency of β€˜M’ = β€˜8x’ units/day Time taken by β€˜M’ to complete the remaining work = 44 – 24 = 20 days Total work = 24 Γ— 5x + 20 Γ— 8x = 280x units Desired time = 280x/8x = 35 days

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