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      Question

      ‘A’ and ‘B’ together can

      complete a work in 16 days, while ‘B’ and ‘C’ together can complete the work in 12 days. If ‘B’ takes 20 days to complete the work alone then find the time taken by all three together to complete 57.5% of work.
      A 6 days Correct Answer Incorrect Answer
      B 8 days Correct Answer Incorrect Answer
      C 9 days Correct Answer Incorrect Answer
      D 5 days Correct Answer Incorrect Answer

      Solution

      Let the total work = 240 units
      Efficiency of (A + B) = 240/16 = 15 units/day
      Efficiency of (B + C) = 240/12 = 20 units/day
      Efficiency of ‘B’ = 240/20 = 12 units/day
      Efficiency of (A + B + C) = (15 + 20 – 12) = 23 units/day
      Required time taken = (0.575 × 240)/23 = 6 days

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