Asked by Meghan
You can run at a speed of 4 mph and swim at a speed of 2 mph and are located on the shore, 3 miles east of an island that is 1 mile north of the shoreline. How far (in mi) should you run west to minimize the time needed to reach the island?
Answers
Answered by
Steve
If you run west for x miles, then you have to swim √((3-x)^2+1) miles
So, you want to minimize the total time, which is thus
x/4 + √((3-x)^2+1)/2
So, you want to minimize the total time, which is thus
x/4 + √((3-x)^2+1)/2
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