A visitor is staying in a tent that is 7 kilometers east of the closest point on a shoreline to an island. The island is 3 kilometers due south of the shoreline. The visitor plans to travel from the tent to the island by running and swimming. If the visitor runs at a rate of 6 kmph and swims at a rate of 5 kmph, how far should the visitor run to minimize the time it takes to reach the island?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.5: Solve Applications Of Quadratic Equations
Problem 9.79TI: MaryAnne just returned from a visit with her grandchildren back east. The trip was 2400 miles from...
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A visitor is staying in a tent that is 7 kilometers east of the closest point on a shoreline to an island. The island is 3 kilometers due south of the shoreline. The visitor plans to travel from the tent to the island by running and swimming. If the visitor runs at a rate of 6 kmph and swims at a rate of 5 kmph, how far should the visitor run to minimize the time it takes to reach the island?

 
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