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      Question

      A’ and ‘B’ together can complete a work in 22 days

      while ‘A’ takes 33 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 52 days Correct Answer Incorrect Answer
      B 53 days Correct Answer Incorrect Answer
      C 55 days Correct Answer Incorrect Answer
      D 51 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the total work = 66 units Efficiency of (A + B) = 66/22 = 3 units/day Efficiency of ‘A’ = 66/33 = 2 unit/day Therefore, efficiency of ‘B’ = 3 – 2 = 1 units/day Efficiency of ‘C’ = 1.2 × 1 = 1.20 units/day Required time taken = 66/1.20 = 55 days

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