preparation for an upcoming triathlon.

1- An athlete has set up a course for training as part of her regimen in preparation for an upcoming triathlon. She is dropped off by a boat 2 miles from the nearest point on shore. The finish line is 4 miles down the coast and 2 miles inland (see figure). She can swim 2 miles per hour and run 8 miles per hour. The time t (in hours) required for her to reach the finish line can be approximated by the model