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      Question

      An elephant can do a work as fast as two horses ‘A’

      and ‘B’ can do it by working together. If horse ‘A’ alone can complete the work in 6 hours and horse ‘B’ in 12 hours, then find the time taken by elephant to complete the work.
      A 8 hours Correct Answer Incorrect Answer
      B 4 hours Correct Answer Incorrect Answer
      C 12 hours Correct Answer Incorrect Answer
      D 16 hours Correct Answer Incorrect Answer
      E 24 hours Correct Answer Incorrect Answer

      Solution

      Let the total work = 12 units Efficiency of horse who can complete the work in 6 hours = 12/6 = 2 units/hour Efficiency of horse who can complete the work in 12 hours = 12/12 = 1 units/hour Therefore, time taken by both horses to complete the work together = 12/(2 + 1) = 4 hours Therefore, time taken by the elephant to complete the work = 4 hours

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