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.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: The Rectangular Coordinate System And Graphs
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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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