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      Question

      A’ and ‘B’ together can complete a work in 10 days

      while ‘A’ takes 15 days to complete the same work alone. If ‘C’ is 20% more efficient than ‘B’, then find the time taken by ‘C’ alone to complete the whole work.
      A 20 days Correct Answer Incorrect Answer
      B 24 days Correct Answer Incorrect Answer
      C 25 days Correct Answer Incorrect Answer
      D 27 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the total work = 30 units Efficiency of (A + B) = 30/10 = 3 units/day Efficiency of ‘A’ = 30/15 = 2 unit/day Therefore, efficiency of ‘B’ = 3 – 2 = 1 units/day Efficiency of ‘C’ = 1.2 × 1 = 1.2 units/day Required time taken = 30/1.2 = 25 days

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