A person is in a rowboat 3 miles from the closest point on a straight shoreline, as

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A person is in a rowboat 3 miles from the closest point on a straight shoreline, as illustrated in the figure. The person would like to reach a cabin that is 8 miles down the shoreline. The person can row at 4 miles per hour and jog at 7 miles per hour.image


(a) How long will it take to reach the cabin if the person rows straight toward shore at point A and then jogs to the cabin? 


(b) How long will it take to reach the cabin if the person rows straight to the cabin and does no jogging? 


(c) Find the minimum time to reach the cabin.

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