A woman is on a lake in a rowboat located 1 mile from the closest point P of a straight shoreline. She wishes to get to point Q, 10 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 in order to get to Q as quickly as possible? How much time does she require? 9. 40 mi

Algebra: Structure And Method, Book 1
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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
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A woman is on a lake in a rowboat located 1 mile from the closest point P of a straight shoreline.
She wishes to get to point Q, 10 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 in order to get to Q as quickly as possible?
How much time does she require?
9.
10 mi
P
R
1 mi
Transcribed Image Text:A woman is on a lake in a rowboat located 1 mile from the closest point P of a straight shoreline. She wishes to get to point Q, 10 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 in order to get to Q as quickly as possible? How much time does she require? 9. 10 mi P R 1 mi
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