a swimmer goes downstream in a river and covers a distance in 2 hours it covers the same distance upstream in 3 hours if the speed of the stream is 2 kilometre per hour find the speed of the swimmer in still water
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Let the speed of swimmer = x
Speed = (speed of swimmer + speed of stream.)
Its speed in down stream = ( x + 2)
Distance cover = ( x + 2) × 2= (2x +4) km
Speed in upstream =(x - 2)
Distance = (x - 2) × 3= (3x - 6)
According to the question the distance is same in both case.
(2x +4)=(3x - 6)
2x - 3x = - 4-6
-1x = - 10
X = 10 km per hour.
Spedf of swimmer = 10km/ hr
Also its speed in still water =10 km / हर.
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