Physics

Problem

Two ports

A

and

B

are located on opposite banks of a river of width

800\,\text{m}

. Port

B

600\,\text{m}

downstream from the point directly opposite

A

. A boat travels from

A

B

in a straight line relative to the ground. If the river speed is

3\,\text{m/s}

and the boat speed in still water is

5\,\text{m/s}

, find the time taken for the crossing.