Question

A boat covers the distance between two ports in 5 hours while going down the stream.
While going up the stream, it covers the same distance in 8 hours. If the speed of the
stream is 3 km/h, find the speed of the boat in still water.​

Answer 1

SOLUTION :-

Let the speed of the boat in still water be x.

Given that,

Speed of the stream = 3 km/h

Downstream :-

Speed downstream = ( x + 3 ) km/h

Time taken = 5 h

Distance between 2 ports = 5 ( x + 3 ) km

Upstream :-

Speed upstream = ( x - 3 ) km/h

Time taken = 8 h

Distance between 2 ports = 8 ( x - 3 ) km

According to the question,

$\longrightarrow\sf 5(x+3)=8(x-3) \\\\\longrightarrow 5x+15 = 8x-24 \\\\\longrightarrow 5x-8x = -24-15 \\\\\longrightarrow -3x = -39 \\\\\longrightarrow \bf x = 13$

Speed of the boat in still water = 13 km/h

Answer 2

ANSWER:Speed of the boat in still water = 13 km/h

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