Rate of current when man go across the width of river in t and t hours.

A man directly crosses a river in time t_1 and swims down the current a distance equal to the width of the river I time t_2 . If u and v be the speed of the current and the man respectively, show that : t_1 :t_2 = sqrt(v + u) : sqrt(v - u)) .

A man directly crosses a river in time t_1 and swims down the current a distance equal to the width of the river I time t_2 . If u and v be the speed of the current and the man respectively, show that : t_1 :t_2 = sqrt(v + u) : sqrt(v - u)) .

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 (in hours) and the horizontal distance travelled (in km) are respectively

A man can swim in still water at a speed of 6 kmph and he has to cross the river and reach just opposite point on the other bank.If the river is flowing at a speed of 3 kmph ,and the width of the river is 2km , the time taken to cross the river is (in hours)

A man can swim in still water at a speed of 6 kmph and he has to cross the river and reach just opposite point on the other bank. If the river is flowing at a speed of 3 kmph, and the width of the river is 2 km, the time taken to cross the river is (in hours)

A man can swim in still water at a speed of 6 kmph and he has to cross the river and reach just opposite point on the other bank. If the river is flowing at a speed of 3 kmph, and the width of the river is 2 km, the time taken to cross the river is (in hours)