Question

A swimmer makes his strokes perpendicular to the flow of river at speed 8 metre per second relative to still water. he arrives at a point 20 metre downstream from the point directly across the river which is 40 metre wide. the velocity of the swimmer with respect to ground will be?

Answer 1

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Answer 2

Hi , here is yo answer

Let the swimmers speed in still water be x km/h

and

let the speed of water be y km/h

Swimmer's speed in the direction of current = x+y km/h=12km/h

Swimmer's speed opposite to the direction of current = x-y km/h=6km/h

x + y = 12

x - y = 6

-------------------- (adding both)

2x + 0 = 18

⇒x = 18/2= 9

x+y=12

⇒y = 12-x = 12-9 = 3

∴Speed of man in still water = 9 km / h

Speed of stream = 3 km / h