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Suppose a hiker finds himself in a forest 3 miles from the nearest point on a straight road. He wants to walk to his car which is parked 10 miles down the road. He 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 he walk in order to reach his car in the least time? Note: Round to the nearest thousandth.

Suppose a hiker finds himself in a forest 3 miles from the nearest point on a straight road. He wants to walk to his car which is parked 10 miles down the road. He 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 he walk in order to reach his car in the least time? Note: Round to the nearest thousandth.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 8P
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Suppose a hiker finds himself in a forest 3 miles from the nearest point on a straight road. He wants to walk to his car which is parked 10 miles down the road. He 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 he walk in order to reach his car in the least time? Note: Round to the nearest thousandth.
Transcribed Image Text:Suppose a hiker finds himself in a forest 3 miles from the nearest point on a straight road. He wants to walk to his car which is parked 10 miles down the road. He 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 he walk in order to reach his car in the least time? Note: Round to the nearest thousandth.
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