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

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

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

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


You can earn partial credit on this problem.