A swimmer wishes to cross a `500 - m` river flowing at `5 km h^-1`. His speed with respect to water is `3 km h^-1`. The shortest possible time to cross the river is.

A swimmer wishes to cross a 500m wide river flowing at a rate 5km/hr. His speed with respect to water is 3km/hr. (a) If the heads in a direction making an angle theta with the flow, he takes to cross the river. (b) Find the shortest possible time to cross the river.

A swimmer wishes to .cross a river 500 m wide flowing at a rate 'u'. His speed with respect to still water is 'v'. For this, he makes an angle theta with the perpendicular as shown ip. the. figure. To cross the river in minimum time, the value of theta should be:

man wants to swim across a river of which 200 m along the shortest path . If the speed of river stream is 3 km h^(-1) and speed of swimmer in still water is 5 km h^(-1) , then the time of crossing the river is

man wants to swim across a river of which 200 m along the shortest path . If the speed of river stream is 3 km h^(-1) and speed of swimmer in still water is 5 km h^(-1) , then the time of crossing the river is

A man can swim at a speed of 3 km h^-1 in still water. He wants to cross a 500-m wide river flowing at 2 km h^-1 . He keeps himself always at an angle to 120^@ with the river flow while swimming. The time taken to cross the river is.

A man can swim at a speed of 3 km h^-1 in still water. He wants to cross a 500-m wide river flowing at 2 km h^-1 . He keeps himself always at an angle to 120^@ with the river flow while swimming. The time taken to cross the river is.

A man can swim in still water at a speed of 4 kmph. He desires to cross a river flowing at a speed of 3 kmph in the shortest time interval. If the width of the river is 3km time taken to cross the river (in hours) and the horizontal distance travelled (in km) are respectively