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      Question

      ‘C’ is 20% less productive compared to ‘B’, who

      is 25% more productive than ‘A’. Together, they finish a job in 40 days. After ‘A’ and ‘B’ have worked for 30 days, they stop. How long will ‘C’ take to finish the remaining work alone?
      A 40 days Correct Answer Incorrect Answer
      B 60 days Correct Answer Incorrect Answer
      C 80 days Correct Answer Incorrect Answer
      D 50 days Correct Answer Incorrect Answer
      E 62.5 days Correct Answer Incorrect Answer

      Solution

      Let efficiency of ‘B’ is ‘x’ units per day
      Efficiency of ‘C’ = 0.80 × x = 0.8x units per day
      Efficiency of ‘A’ = x / 1.25 = 0.8x units per day
      Total work = (x + 0.8x + 0.8x) × 40 = 104x units
      Work done by ‘A’ and ‘B’ in 30 days = (x + 0.8x) × 30 = 54x units
      Remaining work = 104x – 54x = 50x units
      Desired time = 50x / 0.8x = 62.5 days

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