A depot is located at the intersection of an east-west railroad and a north-south highway. Two budding mathematicians leave the depot for a camp located into the woods 5 miles south of the railroad and 3 miles from the highway. If they can estimate that they can walk 5 miles per hour and 4 miles per hour along the highway and through the forest, respectively, how far from the junction or intersection should they leave the road in order to reach the camp as soon as possible?
A depot is located at the intersection of an east-west railroad and a north-south highway. Two budding mathematicians leave the depot for a camp located into the woods 5 miles south of the railroad and 3 miles from the highway. If they can estimate that they can walk 5 miles per hour and 4 miles per hour along the highway and through the forest, respectively, how far from the junction or intersection should they leave the road in order to reach the camp as soon as possible?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
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Transcribed Image Text:2. A depot is located at the intersection of an east-west railroad and a north-south highway.
Two budding mathematicians leave the depot for a camp located into the woods 5 miles
south of the railroad and 3 miles from the highway. If they can estimate that they can walk
5 miles per hour and 4 miles per hour along the highway and through the forest,
respectively, how far from the junction or intersection should they leave the road in order to
reach the camp as soon as possible?
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