An island in a lake is located 600 yards opposite one end of a portion of the straight shoreline that is 3 miles long. Suppose you can swim at a rate of 3.2 miles per hour and can run at a rate of 9.5 miles per hour. Ignoring transition time, find the least amount of time required to get to the other end of the shoreline from the island. Give your answer to the nearest second. Be certain to check the endpoints that arise in this problem since they both give reasonable options for a race. (You will need a calculator for some of the computations.)