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    Question

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

    started the work alone and worked for 16 days and after that β€˜N’ is replaced by β€˜M’. If the total work is completed in 45 days, find the time taken by β€˜M’ to finish the same work alone?
    A 29 days Correct Answer Incorrect Answer
    B 19 days Correct Answer Incorrect Answer
    C 39 days Correct Answer Incorrect Answer
    D 25 days 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 = 45 – 16 = 29 days Total work = 16 Γ— 5x + 29 Γ— 8x = 312x units Desired time = 312x/8x = 39 days

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