Chapter 4.5, Problem 57ES

The shoreline of Circle Lake is a circle with diameter $2\text{ mi}$ . Nancy’s training routine begins at point $E$ on the eastern shore of the lake. She jogs along the north shore to a point $P$ and then swims the straight line distance, if any, from $P$ to point $W$ diametrically opposite $E$ (Figure Ex-57). Nancy swims at a rate of $2\text{ mi/h}$ and jogs at $8\text{ mi/h}$ . How far should Nancy jog in order to complete her training routine in

(a) the least amount of time

(b) the greatest amount of time?