Question

A streamer goes downstream and covers the distance between two ports in $5$ hours while it covers the same distance upstream in $6$ hours. If the speed of the stream is $1$ km/h, find the speed of the streamer in still water and the distance between two ports.

Answer 1

Given

Speed of the stream in still water $=1km/h$

Let speed of the streamer $=xkm/h$

Speed downstream $=(x+1)km/h$

Speed upstream $=(x-1)km/h$

According to the given condition,

$(x+1)\times 5=(x-1)\times 6$

$5x+5=6x-6$

$x=11$

Hence , Speed of streamer in still water is $11km/h$ and

Distance between two ports $=(11+1)\times 5=60km/h$