HW: Class problem on optimization (below)
You are the captain of a ship and one of your passengers is injured. Your ship is 30 miles from a point on the shore which is 60 miles from the nearest hospital. You must order an ambulance to meet you at any point along the road that runs parallel to the shoreline. The ambulance starts at the hospital. You would like to meet the ambulance at a point that will get your passenger to the hospital in the shortest possible time. Suppose your boat travels an average of 20 mph while the ambulance averages 50 mph. Describe the location of the point where the boat meets the ambulance to minimize the passenger's travel time.