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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 26 days, find the time taken by β€˜M’ to finish the same work alone?
      A 25 days Correct Answer Incorrect Answer
      B 24 days Correct Answer Incorrect Answer
      C 20 days Correct Answer Incorrect Answer
      D 21 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 = 26 – 16 = 10 days Total work = 16 Γ— 5x + 10 Γ— 8x = 160x units Desired time = 160x/8x = 20 days

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