a man on a boat is located at point B on the waters, 200 meters from point A on the shoreline. Line segment AB is perpendicular to the shoreline. He can swim at the rate of 3m/s and walks along the shoreline at 5m/s. the man needs to get to a pointy along the shoreline which is 400 meters from point A. How far from point A must the man lands, then walks along the shoreline to his destinmation, so that the total time of swimming and walking is minimum?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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a man on a boat is located at point B on the waters, 200 meters from point A on the shoreline. Line segment AB is perpendicular to the shoreline. He can swim at the rate of 3m/s and walks along the shoreline at 5m/s. the man needs to get to a pointy along the shoreline which is 400 meters from point A. How far from point A must the man lands, then walks along the shoreline to his destinmation, so that the total time of swimming and walking is minimum? 

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