Question

a steamer goes downstream and cover the distance between two ports in 4 hours while it cover the same distance upstream in 5 hours if the speed of the stream is 2 kilometre per hour find the speed of stream hour in still water
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Answer 1

☆ Question ☆

A steamer goes downstream and cover the distance between two ports in 4 hours while it cover the same distance upstream in 5 hours if the speed of the stream is 2 kilometre per hour find the speed of stream hour in still water.

☆ Solution ☆

☆ Given ☆

• A steamer goes downstream and cover the distance between two ports in 4 hours while it cover the same distance upstream in 5 hours if the speed of the stream is 2 kilometre per hour.

☆ To find ☆

• The speed of stream hour in still water.

☆ Step-by-Step-Explaination ☆

Let the speed of the steamer in still water be x km/h.

Then, the speed downstream = ( x + 2 ) km/h and

The speed upstream = ( x - 2 ) km/h

Given, distance covered in 4 hours downstream = distance covered in 5 hours upstream .

∴ 4 ( x + 2 ) = 6 ( x - 2 )

=> 4x + 8 = 6x - 12

=> 4x - 6x = ( - 12 ) - 8

[ Transposing 5x to LHS and 8 to RHS ]

=> - 2x = ( - 20 )

$= > x = \frac{ - \: 20}{ - \: 2}$

=> x = 10 or x = 10 km / hr.