A man can swim with a speed of 3m/s in still water and river flows at the rate of 5m/s. River width is 500m

time taken for shortest path journey is $3\frac{17}{36}min$

For shortest path journery ${\text{θ =Tan}}^{\text{-1}}\frac{\text{3}}{\text{4}}$

For shortest path journey ${\text{θ =Tan}}^{\text{-1}}\frac{\text{4}}{\text{3}}$

time taken to cross river in shortest time is $2\frac{28}{36}\min$