A man can row at 5 km/h in still water. He rows upstream 3 km and then returns to his starting point. If the total time taken is 1 h 15 m, find the speed of the stream.
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Assume that a man can row at the speed of x km/hr in still water and he rows the same distance up and down in a stream which flows at a rate of y km/hr. Then his average speed throughout the journey
=Speed downstream × Speed downstream
Speed in still water
=(x+y)(x−y)x km/hr
= Speed downstream × Speed downstreamSpeed in still water
=(x+y)(x−y)x km/hr
Speed of the man in still water = 12 km/hr
Speed of the stream = 3 km/hr
Speed downstream = (12+3) = 15 km/hr
Speed upstream = (12-3) = 9 km/hr
Average Speed =
Average Speed = Speed downstream × Speed downstream
Average Speed = Speed downstream × Speed downstreamSpeed in still water
=15×9=12
=15×3/4
=45/4
=11 (1/4) km/hr
Step-by-step explanation:
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