solve the following optimization problem:

in a race that involves swimming and running, you start off 120 feet from the shore as shown in the diagram. If you were to swim directly to shore, then you would have to run along the beach a distance of 200 feet to get to the finish line. If your running speed is 13 feet per second and your swimming speed is 5 feet her second, what distance x should you swim in order to make it to the finish line in the shortest amount of time?

Note: don't worry about justifying that your critical value is indeed a minimum.

Hint: if you are traveling at a constant speed, then distance=speed x time