You are in a row boat on Lake Erie, 2 miles from a straight shoreline, taking your potential in-laws for a boat ride. Six miles down the shoreline from the nearest point on shore is an outhouse. You suddenly feel the need for its use. Also, the shore line is populated with lots of houses, all owned by people who know your parents. If you can row at 2 mph and run at 6 mph, for what point along the shoreline should you aim in order to minimize the amount of time it will take you to get to the outhouse?
Ok, I drew a picture of it. I am guessing that I should first row the boat diagonally to a point instead of rowing vertically down to the shore, because rowing diagonally will shorten the distance. Please I need someone to help me figuring out this problem.