In a river flowing at 2, km/h, a boat travels | vedclass

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(B) Let the speed of the boat in still water be $u = 6\, km/h$ and the speed of the stream be $v = 2\, km/h$.The speed of the boat upstream is $(u - v

Vedclass · Accepted Answer

$12$

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(B) Let the speed of the boat in still water be $u = 6\, km/h$ and the speed of the stream be $v = 2\, km/h$.The speed of the boat upstream is $(u - v) = 6 - 2 = 4\, km/h$.The speed of the boat downstream is $(u + v) = 6 + 2 = 8\, km/h$.The time taken to travel $32\, km$ upstream is $t_1 = \frac{	ext{Distance}}{	ext{Upstream Speed}} = \frac{32}{4} = 8\, hours$.The time taken to travel $32\, km$ downstream is $t_2 = \frac{	ext{Distance}}{	ext{Downstream Speed}} = \frac{32}{8} = 4\, hours$.The total journey time is $t = t_1 + t_2 = 8 + 4 = 12\, hours$.

In a river flowing at $2\, km/h$, a boat travels $32\, km$ upstream and then returns downstream to the starting point. If its speed in still water is $6\, km/h$, find the total journey time in hours.

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