a race boat covers a distance of 60 km downstream in one and a half hours. it covers the same distance upstream in two hours . the speed of the race boat in still water is 35 km/hr . find the speed of the stream
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a race boat covers a distance of 60 km downstream in one and a half hours. it covers the same distance upstream in two hours . the speed of the race boat in still water is 35 km/hr . find the speed of the stream
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Answer:
=> 5 km/hr
Step-by-step explanation:
According to the question:
It is given that,
The distance covered = km
The time is taken ( for downstream ) = hours
And the time is taken ( for upstream ) = hours
As we have to find the speed of the streams,
Therefore,
Speed downstream =
And the upstream speed =
We know that,
The speed of the stream,
=> 5 km/hr
Hence, the speed of the stream is 5km/hr.
Verified answer
HyLet The Speed Of Stream Be x km/hr.
Now Speed Upstream = 35-x
Speed Downstream = 35+x
Now Time = Distance/Speed
3/2 = 60/35+x
And
2 = 60/35-x
Cross Multiplying We Get
105+3x = 120
3x = 15
x = 5
Check By Solving Other Equation
2 = 60/35-x
70-2x = 60
2x = 10
x = 5
So
Speed Of Stream = 5km/hr