A man travelled from place A to B at an average speed of 30 mph and returned along the same route at an average speed of 60 mph. Find the appropriate average of the total journey.SOLUTIONHarmonic Mean =
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Answer ( 1 )
Let the distance between A and B is x.
so the time taken to go from A to B = x/30
Similarly, the time taken to travel from B to A = x/60.
Total Time taken is = x/30 + x/60 = 3x/60 = x/20
Total distance traveled = x+x = 2x.
So average speed = 2x/(x/20) = 40 mph.