A woman is on a lake in a rowboat located one mile from the closest point P of a straight shoreline. She wishes to get to point Q, 8 miles along the shore from P, by rowing to a point R between P and Q and then walking the rest of the distance. If she can row at a speed of 3 mph and walk at a speed of 4 mph, how should she pick the point R to get to Q as quickly as possible? How much time does she require?

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
Section4.8: Rate-time-distance Problems
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A woman is on a lake in a rowboat located one mile from the closest point P of a
straight shoreline. She wishes to get to point Q, 8 miles along the shore from P, by
rowing to a point R between P and Q and then walking the rest of the distance. If she
can row at a speed of 3 mph and walk at a speed of 4 mph, how should she pick the
point R to get to Q as quickly as possible? How much time does she require?
Transcribed Image Text:A woman is on a lake in a rowboat located one mile from the closest point P of a straight shoreline. She wishes to get to point Q, 8 miles along the shore from P, by rowing to a point R between P and Q and then walking the rest of the distance. If she can row at a speed of 3 mph and walk at a speed of 4 mph, how should she pick the point R to get to Q as quickly as possible? How much time does she require?
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