You are in a boat 2 miles from the nearest point on the coast (see figure). You are to go to a point Q, which is 3 miles down the coast and 1 mile inland. You can row at 4 miles per hour and walk at 5 miles per hour. Toward what point on the coast (from projection of initial position on the coast) should you row in order to reach point Q in the least time? Round your answer to three decimal places.
?
 
?

A. approximately 2.121 miles
B. approximately 2.557 miles
C. approximately 1.441 miles
D. approximately 1.666 miles
E. approximately 2.321 miles


Answer: D

Mathematics

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