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      Question

      ‘A’ and ‘C’ together can dig a hole in 8 hours

      while ‘A’, ‘B’ and ‘C’ together can dig the same hole in 6 hours. Find the time taken by ‘B’ alone to dig the same hole.
      A 32 hours Correct Answer Incorrect Answer
      B 18 hours Correct Answer Incorrect Answer
      C 16 hours Correct Answer Incorrect Answer
      D 24 hours Correct Answer Incorrect Answer

      Solution

      Let the total work be 24 units {LCM (8 and 6)}
      Efficiency of ‘A’ and ‘C’ together = 24/8 = 3 units/hour
      Efficiency of ‘A’, ‘B’ and ‘C’ together = 24/6 = 4 units/hour
      Efficiency of ‘B’ = 4 – 3 = 1 unit/hour
      Time taken by ‘B’ to dig the same hole alone = (24/1) = 24 hours

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