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A small island is 3 miles from the nearest point P on the straight shoreline of a large lake. If a woman on the island can row a boat 3 miles per hoi can walk 4 miles per hour, where should the boat be landed in order to arrive at a town 15 miles down the shore from P in the least time? ..... The boat should be landed miles down the shore from (Type an exact answer.)

A small island is 3 miles from the nearest point P on the straight shoreline of a large lake. If a woman on the island can row a boat 3 miles per hoi can walk 4 miles per hour, where should the boat be landed in order to arrive at a town 15 miles down the shore from P in the least time? ..... The boat should be landed miles down the shore from (Type an exact answer.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 41RE
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A small island is 3 miles from the nearest point P on the straight shoreline of a large lake. If a woman on the island can row a boat 3 miles per hour and can walk 4 miles per​ hour, where should the boat be landed in order to arrive at a town 15 miles down the shore from P in the least​ time?

A small island is 3 miles from the nearest point P on the straight shoreline of a large lake. If a woman on the island can row a boat 3 miles per hour and can walk 4 miles per hour, where should the boat be landed in order to arrive at a town 15 miles down the shore from P in the least time? The boat should be landed miles down the shore from P. (Type an exact answer.)
Transcribed Image Text:A small island is 3 miles from the nearest point P on the straight shoreline of a large lake. If a woman on the island can row a boat 3 miles per hour and can walk 4 miles per hour, where should the boat be landed in order to arrive at a town 15 miles down the shore from P in the least time? The boat should be landed miles down the shore from P. (Type an exact answer.)
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