A woman at point A on the shore of a circular lake with radius r=3 wants to arrive at point C diametrically opposite A on the other side of the lake in the shortest possible time. She can walk at the rate of 4mph and row a boat at 2mph. 1. What is the shortest amount of time it would take her to reach point C? in hours 2. What is the longest amount of time it would take her to reach point C following a path like a path in the figure? in hours