SOLUTION: A woman at a point on the shore of a circular lake with radius 2 miles wants to arrive on the exact opposite side of the lake in the shortest possible time. She can walk 4mph and r

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Question 205033: A woman at a point on the shore of a circular lake with radius 2 miles wants to arrive on the exact opposite side of the lake in the shortest possible time. She can walk 4mph and row a boat 2mph. How should she proceed?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A woman at a point on the shore of a circular lake with radius 2 miles wants
to arrive on the exact opposite side of the lake in the shortest possible time.
She can walk 4mph and row a boat 2mph. How should she proceed?
:
Find the diameter (rowing directly across the lake) 2 * 2 = 4 mi
Rowing time = 4%2F2 = 2 hrs; rowing
:
Find half the circumference: .5(4*pi) = 6.283 mi
Walking time = 6.283%2F4 = 1.57 hrs, walking