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    Question

    β€˜M’ and β€˜N’ together can do a piece of work in

    50 days. If β€˜M’ is 50% more efficient than β€˜N’, how long will β€˜N’ take to do the work alone?
    A 178 days Correct Answer Incorrect Answer
    B 148 days Correct Answer Incorrect Answer
    C 125 days Correct Answer Incorrect Answer
    D 198 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the efficiency of β€˜N’ be 10x units. Efficiency of β€˜M’ = 10x Γ— 1.5 = 15x units Total work = 50 Γ— (10x + 15x) = 1250x units Time taken by β€˜N’ alone = 1250x Γ· 10x = 125 days

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