Β Α Τ C (12 points) A woman at a point A on the shore of a circular lake with radius = 3 wants to arrive at the point C diametrically opposite A on the other side of the lake in the shortest possible time. She can walk at the rate of 8mph and row a boat at 4mph. B A C T T What is the shortest amount of time it would take her to reach point C? What is the longest amount of time it would take her to reach point C following a path like the path in the figure? hours hours