A boat with a speed of $5$ km/h in still water crosses a river of width $1$ km along the shortest possible path in $15$ minutes. The velocity of the river water in km/h is

A swimmer can swim with a speed of 5 km/h in still water. He crosses a river of width 1 km along the shortest possible path in 15 minutes. What is the speed of the river?

A boatman can row with a speed of 10 km/h in still water. If the river flows steadily at 5 km/h, in which direction should he row in order to reach a point on the other bank directly opposite to the starting point? The width of the river is 2 km.

A swimmer's speed in still water is 20 m/s. A river flows due east at 10 m/s. If the swimmer starts from the south bank and wants to cross via the shortest path, at what angle with respect to north should they swim?

A boat crosses a river of width 500 m in 10 minutes, heading perpendicular to the flow of the river. If the river flows at 2 m/s, what is the speed of the boat in still water?

A motorboat's speed in still water is 25 km/h. A river flows south at 5 km/h. If the boat starts on the west bank and wants to cross the river in the shortest time, what angle east of north should the boat's heading be?

A swimmer wishes to cross a river of width $d$ flowing with a velocity $u$. The swimmer can swim with a velocity $v$ relative to still water. If the swimmer swims at an angle $heta$ with the upstream direction such that he drifts a minimum distance downstream, then $an heta$ is given by:

A boat of mass 50 kg is ${O^ + }$ the rest. A dog of mass 5 kg moves in the boat with a velocity of 20 m/s. What is the velocity of a boat? (nearly)

A man can row a boat in still water with a velocity of 8 kmph . Water is flowing in a river with a velocity of 4 kmph . At what angle should he row the boat so as to reach the exact opposite point

A swimmer can swim at a speed of 4 m/s in still water. A river flows south at 2 m/s. The swimmer wants to cross the river from the west bank to the east bank and arrive directly across from their starting point. What angle east of north should the swimmer aim?

A boat takes twice as long to travel upstream against the current as it does to travel downstream with the current. If the speed of the boat in still water is $v$ and the speed of the current is $u$, what is the relationship between $v$ and $u$?