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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 3 m/s and walks along the shoreline at 5 m/s. The man needs to get to a point along the shoreline which is 400 meters from point A. How far from point A must the man lands (end of his swim), then walks along the shoreline to his destination, so that the total time of swimming and walking is minimum?

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 3 m/s and walks along the shoreline at 5 m/s. The man needs to get to a point along the shoreline which is 400 meters from point A. How far from point A must the man lands (end of his swim), then walks along the shoreline to his destination, so that the total time of swimming and walking is minimum?

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter44: Solution Of Equations By The Subtraction, Addition, And Division Principles Of Equality
Section: Chapter Questions
Problem 38A
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4. 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 3 m/s and walks along the shoreline at 5 m/s. The man needs to get to a point along the shoreline which is 400 meters from point A. How far from point A must the man lands (end of his swim), then walks along the shoreline to his destination, so that the total time of swimming and walking is minimum?
Transcribed Image Text:4. 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 3 m/s and walks along the shoreline at 5 m/s. The man needs to get to a point along the shoreline which is 400 meters from point A. How far from point A must the man lands (end of his swim), then walks along the shoreline to his destination, so that the total time of swimming and walking is minimum?
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