A small island is 2 miles from the nearest point P on the straight shoreline of a large lake. If a woman on the island can row a boat 2 miles per hour and can walk 3 miles per hour, where should the boat be landed in order to arrive at a town 10 miles down the shore from P in the least time? Let [math] be the distance between point P and where the boat lands on the lake shore.

(A) Enter a function [math] that describes the total amount of time the trip takes as a function of the distance [math].
[math] =

(B) What is the distance [math] that minimizes the travel time? Note: The answer to this problem requires that you enter the correct units.
[math] = .

(C) What is the least travel time? Note: The answer to this problem requires that you enter the correct units.
The least travel time is .

(D) Recall that the second derivative test says that if [math] and [math], then [math] has a local minimum at [math] What is [math]?
[math] =