So I've been wrestling with this problem for almost a week. It shouldn't be too difficult, there's just this one little aspect that throws me off. I can't tell if I can't figure out how to set it up, or if I'm just solving for the wrong variable.
Joel has fallen off of his “Little Mermaid” floaty 200 feet from shore in Lake Travis. He cannot swim. Cheryl is at a point 200 feet down the shore from the point closest to Joel. She can run 18 ft/s and can swim at a rate of 5 ft/s.
To what point on the shore should you run before diving into the lake if you want to reach Joel as quick as possible?