Suppose a hiker finds himself in a forest 3 miles from the

Last updated: 7/20/2022

Suppose a hiker finds himself in a forest 3 miles from the nearest point on a straight road. He wants to walk to his car which is parked 10 miles down the road. He can walk 4 mph along the road, but only 2 miles per hour through the forest. Toward what point, in miles, on the road should he walk in order to reach his car in the least time? Note: Round to the nearest thousandth.