3) A swimming competition has a contestant swimming from a point on one shore of a Sandy lake to another point on the opposite parallel shore, then running to the finish line further along the shore. The lake is 5 km wide, and the finish line is 12 km down the lake. If a contestant can swim at 3 km/h and run at 12 km/h, determine the location of the point on the opposite side of the lake where they should finish swimming to minimize the total time for the race