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      Question

      ‘A’ is 50% less productive compared to ‘B’, who

      is 20% more productive than ‘C’. Together, they can finish a task in 36 days. After ‘B’ and ‘C’ have worked on the task for 24 days, they stop. How long will it take for ‘A’ to finish the remaining work alone?
      A 72 days Correct Answer Incorrect Answer
      B 54 days Correct Answer Incorrect Answer
      C 48 days Correct Answer Incorrect Answer
      D 60 days Correct Answer Incorrect Answer
      E 80 days Correct Answer Incorrect Answer

      Solution

      Let efficiency of ‘B’ is ‘x’ units per day
      Efficiency of ‘A’ = 0.50 × x = 0.5x units per day
      Efficiency of ‘C’ = x/1.20 = 0.833x units per day
      Total amount of work = (x + 0.5x + 0.833x) × 36 = 84x units
      Amount of work completed by ‘B’ and ‘C’ in 24 days = (x + 0.833x) × 24 = 43.99x ≈ 44x units
      Remaining work = 84x – 44x = 40x units
      Desired time = 40x / 0.5x = 80 days

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