A woman is on a lake in a rowboat located one mile form the closest point P of a straight shoreline (see the figure). She wishes to get to point Q, 8 miles 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 3 mph and walk at a speed of 4 mph, how should she pick the point R to get to Q as quickly as possible? How much time does she require?
8 mi 
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