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      Question

      β€˜F’ is 66.67% more efficient than β€˜G’. β€˜G’

      worked alone for 10 days, and then β€˜F’ completed the rest of the work. If the entire job was finished in 35 days, how long would β€˜F’ take to do the work alone?
      A 31 days Correct Answer Incorrect Answer
      B 43 days Correct Answer Incorrect Answer
      C 22 days Correct Answer Incorrect Answer
      D 60 days Correct Answer Incorrect Answer

      Solution

      Let the efficiency of β€˜G’ = 3x units/day Efficiency of β€˜F’ = 5x units/day Time taken by β€˜F’ = 35 – 10 = 25 days Total work = 10 Γ— 3x + 25 Γ— 5x = 30x + 125x = 155x units Required time = 155x / 5x = 31 days

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