Question

A boat covers a distance of 1 kilometre in 6 minutes in downstream and a distance of 6 km in 1 hour in upstream determine the speed of the stream

Answer 1

Therefore, with speed = distance / time, 1. ... while it takes 6 hours to cover the same distance upstream. .... 1 hour and 30 minutes downstream at the rate of 3 km/h?

Answer 2

The speed of the stream is 2 km/h .

Given :

Time taken by boat to covers a distance of 1 kilometer in downstream is 6 minutes .

Also , time taken by boat to covers a distance of 6 kilometer in upstream is 1 hour .

Let , speed of stream be v and speed of boat be u .

Therefore , equation of both the case is :

$u+v=\dfrac{1}{\dfrac{6}{60}}\\\\u+v=10\ \ \ \ \........( 1)$

and

$u-v=\dfrac{6}{1}\\\\u-v=6\ \ \ \ \........(2)$

Solving both the equations we get ,

u = 8 km/h and v = 2 km/h .

Hence , this is the required solution .

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