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      Question

      Two workers, β€˜X’ and β€˜Y’, can finish a job in 25

      days together. If β€˜X’ is 25% more efficient than β€˜Y’, find the number of days β€˜Y’ alone would take to complete the job.
      A 78 days Correct Answer Incorrect Answer
      B 48 days Correct Answer Incorrect Answer
      C 68 days Correct Answer Incorrect Answer
      D 98 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the efficiency of β€˜Y’ be 8x units. Efficiency of β€˜X’ = 8x Γ— 1.25 = 10x units Total work = 25 Γ— (8x + 10x) = 450x units Time taken by β€˜Y’ alone = 450x Γ· 8x = 56.25 days

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