Question 86

The speeds of a boat downstream and upstream are 18 km/hr and 8 km/hr respectively. What is the speed of the stream?

Solution

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Let the speed of the boat in still water be ā€˜uā€™.
Let the speed of the stream be ā€˜vā€™.
The speed of the boat upstream = u-v
The speed of the boat downstream = u+v
It is given that,
u-v = 8 and u+v = 18
Solving them we get, u = 13 and v = 5.
Thus the speed of the stream is 5 km/hr.
Hence the answer to this question is Option D.

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