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      Question

      An elephant can do a work as fast as two horses β€˜A’

      and β€˜B’ can do it by working together. If horse β€˜A’ alone can complete the work in 20 hours and horse β€˜B’ in 30 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 = 60 units Efficiency of horse who can complete the work in 20 hours = 60/20 = 3 units/hour Efficiency of horse who can complete the work in 30 hours = 60/30 = 2 units/hour Therefore, time taken by both horses to complete the work together = 60/(3 + 2) = 12 hours Therefore, time taken by the elephant to complete the work = 12 hours

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