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 11 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.)

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
Chapter4: Polynomials
Section: Chapter Questions
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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 11 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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