Question

Velocity of the boat with respect to river is 10 m/s . It passes the river and reaches opposite shore at point x . If the speed of the water is 3m/s . Find the distance between a and x

Answer 1

Let the velocity of man w.r.t. ground = Vm

Velocity of river w.r.t ground = Vr

Let width of river = D

Case 1. Shortest path

 Shortest path will be the width of the river  

Let the man cross the river at an angle α with the width of the river to reach along the shortest path





Thus width of river = 200 mSpeed of the boat w.r.t. ground = 0.33 m/s, yourself find out the speed of the boat w.r.t. water in two cases.Speed of the current = 0.2 m/s