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 $x$ be the distance (in miles) between point P and where the boat lands on the lakeshore.

(a) Enter a function $T(x)$ that describes the total amount of time the trip takes as a function of the distance $x$.
$T(x) =$ (include units)

(b) What is the distance $x = c$ that minimizes the travel time?
$c =$ (include units)

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

Hint: