MINIMIZING TRAVEL TIME A woman is on a lake in a row boat located 1 mi from the closest point P of a straight shoreline (see the accompanying figure). She wishes to get to point Q, 10 mi along the shore from P, by rowing to a point R between P and Q and then walking the rest of the distance. If she can row at a speed of 2 mph and walk at a speed of 3 mph, how should she pick the point R in order to get to Q as quickly as possible? How much time does she require?
