Suppose a hiker finds herself in a forest 5 miles from the nearest point on a straight road. She wants to walk to her car which is parked 12 miles down the point in the road that's closest to the hiker. She can walk 4 mph along the road, but only 2 miles per hour through the forest. Toward what point, in miles, on the road should she walk in order to reach her car in the least time? Note: Omit units of measurement from your answer. Round to the nearest thousandth.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter37: Customary And Metric Gage Blocks
Section: Chapter Questions
Problem 5A
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Suppose a hiker finds herself in a forest 5 miles from the nearest point on a
straight road. She wants to walk to her car which is parked 12 miles down
the point in the road that's closest to the hiker. She can walk 4 mph along
the road, but only 2 miles per hour through the forest.
Toward what point, in miles, on the road should she walk in order to reach
her car in the least time?
Note: Omit units of measurement from your answer. Round to the nearest
thousandth.
Transcribed Image Text:Suppose a hiker finds herself in a forest 5 miles from the nearest point on a straight road. She wants to walk to her car which is parked 12 miles down the point in the road that's closest to the hiker. She can walk 4 mph along the road, but only 2 miles per hour through the forest. Toward what point, in miles, on the road should she walk in order to reach her car in the least time? Note: Omit units of measurement from your answer. Round to the nearest thousandth.
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