The director of a cruise ship company wants to transport passengers
from the ship to a hotel 10 miles down the coast.
To simplify the problem, assume the coast is straight.
The perpendicular distance between the ship and the coast is 5 miles.
The director plans to have power boats take the passengers to a point on the coast
and then have minivans take them the rest of the way to the hotel.
The power boats travel at a speed of 20 mph while the minivans can go 35 mph.
To what point on the coast should the power boats take the passengers
so that the travel time for the passengers is minimized.
What is the minimum travel time?