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)