Physics

Problem

Two swimmers,

A

and

B

, start from the same point on a river bank. Swimmer

A

swims at an angle such that he reaches directly opposite the starting point. Swimmer

B

heads perpendicular the river flow. Both swim at the same speed

v_{s} = 5\,\text{km/h}

relative to water, and the river flows at

v_{r} = 3\,\text{km/h}

. Determine the ratio of the time taken by

A

to the time taken by

B

(

t_{A} / t_{B}