Consider the following problem, illustrated in the figure below. Suppose that you want to reach an island offshore by running along the beach for a certain distance and then swimming from that point to the island. Suppose that you can run at a speed of 6 miles per hour (mph) and swim at a speed of 3 mph. At which point should you start swimming in order to minimize the total travel time to the island? How long will it take to reach the island?

Ocean Island 1 mi X Shore 3 mi