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Rajesh rows in still water with a speed of 4.5 kmph to go to a certain place and comes back. Find his average speed for the whole journey, if the river is flowing with a speed of 1.5 kmph?

Correct Answer: 4 kmph

Explanation:

Let the distance in one direction = k kms


Speed in still water = 4.5 kmph


Speed of river = 1.5


Hence, speed in upstream = 4.5 - 1.5 = 3 kmph


Speed in downstream = 4.5 + 1.5 = 6 kmph


Time taken by Rajesh to row upwards = k/3 hrs


Time taken by Rajesh to row downwards = k/6 hrs


Now, required Average speed = Total   distance Total   speed   =   2 k k 3   +   k 6   =   2 k   x   18 6 k   +   3 k   =   4   kmph  


 


Therefore, the average speed of the whole journey = 4kmph.


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