A hiker finds himself in a forest 4 miles directly east of the nearest point along a road that runes north to south. He wants to walk to his car which is parked on the road 10 miles south of the point of the road that is nearest to the hiker. He can walk 2 miles per hour though the forest and 4 miles an hour along the road.  Toward what point, in miles, north of the car, should the hiker walk to in order to minimize the time it takes to reach his car. (Round the answer to the nearest thousandth)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
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A hiker finds himself in a forest 4 miles directly east of the nearest point along a road that runes north to south. He wants to walk to his car which is parked on the road 10 miles south of the point of the road that is nearest to the hiker. He can walk 2 miles per hour though the forest and 4 miles an hour along the road. 

Toward what point, in miles, north of the car, should the hiker walk to in order to minimize the time it takes to reach his car. (Round the answer to the nearest thousandth)

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