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 (in miles) between point P and where the boat lands on the lakeshore.

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

(b) What is the distance [math] that minimizes the travel time?
[math] (include units)

(c) What is the least travel time?
The least travel time is (include units)