You Are in a Boat 2 Miles from the Nearest

Multiple Choice

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 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