A hiker is returning to a campsite that is 5 miles east and 2 miles south fromtheir current position. The hiker is currently walking east along a path at a pace of 4 milesper hour. The hiker plans to leave the path and walk in a straight line diagonally towardsthe cabin through the woods. The hiker can only walk at a pace of 3 miles per hour throughthe woods. Where should the hiker leave the path and turn into the woods if they want toget to the campsite as quickly as possible?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A hiker is returning to a campsite that is 5 miles east and 2 miles south fromtheir current position. The hiker is currently walking east along a path at a pace of 4 milesper hour. The hiker plans to leave the path and walk in a straight line diagonally towardsthe cabin through the woods. The hiker can only walk at a pace of 3 miles per hour throughthe woods. Where should the hiker leave the path and turn into the woods if they want toget to the campsite as quickly as possible?

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