A swimmer crosses a river with minimum possible time 10 second. And when he reaches the other end starts swimming in the direction towards the point from where he started swimming. Keeping the direction fixed the swimmer crosses the river in 15 sec. The ratio of speed of swimmer with respect to water and the speed of river flow is?
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Answer:
For given situation
10= d/ Vp sin(θ)
For min. time θ=90
Thus sin θ=1
Now
Vp= d/10
Drift= Vw(10)
Now for second situation
15= d/Vp cosθ
So
Cos θ= 10/15=2/3
Now he has to get back to initial point
Vw(10)^2= (Vp sin θ – Vw ) 153
25 Vw= 1 5Vw = 3Vp sinθ
Now
Vp/Vw =3/5 √1.4/9
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