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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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