A man on a boat is located at point B on the waters, 200 meters from point A on the shoreli 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 shoreli 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?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.3: Quadratic Equations

Problem 78E

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