A boat crosses river of width `60sqrt(7)m` inshortest possible path.Speed of river is `8m/s` and speed of the boat in , still water is `6m/s` .Find the time taken by boat(in seconds) to cross the river.

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 swimmer can swim in still water with a speed of 2.5 m/s. What is the shortest time taken by him to swim across the river?

A person reaches on a point directly opposite on the other bank of a river.The velocity of the water in the river is 4 m//s and the velocity of the person in still water is 5 m//s .If the width of the river is 84.6m , time taken to cross the river in seconds is

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)

The current velocity of river grows in proportion to the distance from its bank and reaches the maximum value v_0 in the middle. Near the banks the velocity is zero. A boat is moving along the river in such a manner that the boatman rows his boat always perpendicular to the current. The speed of the boat in still water is u. Find the distance through which the boat crossing the river will be carried away by the current, if the width of the river is c. Also determine the trajectory of the boat.

A boat which has a speed of 6km/h in still water crosses a river of width 1 km along the shortest possible path in 20 min. the velocity of the river water in km/h is

Two ports, A and B, on a north-south line ar separated by a river of width D. The river flows east with speed u. A boat crosses the river starting from port A. The speed of the boat relative to the river is v. Assume v=2u Q. Suppose the boat wants to cross the river from A to the other side in the shortest possible time. Then what should be the direction of the velocity of boat relative to river?

A river is flowing with velocity 5km//hr as shown in the figure. A boat start from A and reaches the other bank by covering shortest possible distance. Velocity of boat in still water is 3km//hr . The distance boat covers is.

A river of width 80m is flowing at 6 m/s. A motorboat crosses the river in 10s and reaches a point directly across on the other river bank. The velocity of motorboat in still water is :

A river of width omega is flowing with a uniform velocity v. A boat starts moving from point P also With velocity v relative to the river. The direction of resultant velocity is always perpendicular to the line joining boat and the fixed point R. Point Q is on the opposite side of the river. P, Q and R are in a straight line. If PQ=QR=omega, find (a) the trajectory of the boat, (b) the drifting of the boat and (c) the time taken by the boat to cross the river.