Question

A Steamer goes downstream from one port to another in 9 hour. It cover the same distance upstream in 10 hour is the speed of a stream b 1 kilometre per hour find the speed of stream in still water and the distance between the ports

Answer 1

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✓✓A Steamer goes downstream from one port to another in 9 hour. It cover the same distance upstream in 10 hour is the speed of a stream be 1 km/hr .find the speed of stream in still water and the distance between the ports.

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Let the speed of the stream be x

Speed of the stream = 1km/hr ( given)

then,

Speed of downstream = ( x + 1 ) km/hr

Speed of Upstream = ( x - 1 ) km/hr

Time taken to travel downstream is 9 hours.

Distance covered in downstream$\bf\:= 9 ( x + 1 ).........(i)$

Time taken to travel upstream is 10 hours.

Distance covered in upstream $\bf\:= 10 ( x - 1 ).........(ii)$

equating equations (i) and (ii),we get

$\bf\implies\:9(x+1)=10(x-1)$

$\bf\implies\:9x+9=10x-10$

$\bf\implies\:9+10=10x-9x$

$\bf\implies\:19=x$

Therefore, Speed of streamers = 19 km/hr

Then,

Distance$\bf\:=9(x+1)............(From\:eq\:i )$

Distance $\bf\:= 9(19+1)$

Distance $\bf\:=9\times\:20$

Distance $\bf\:= 180\:km$

Hence, the distance between two ports is 180 km