Actually, I was going to say more like twenty minutes factoring in the Disney traffic lights and the chances of getting behind a Disney bus. Plus going through the Magic Kingdom parking entrance.
When you come out of the All Star Movies, make a right and go out of the All Stars "complex". Follow that road past Blizzard Beach on your right, past Coronado Springs on your left. Get into the left lane and as soon as you go over World Drive, make a left to get onto World Drive. Follow that all the way to the Magic Kingdom parking entrance. Once there, get as far right as you can (you won't have to pay for parking) and then follow the signs for the Contemporary. It's basically straight.
Coming back from the Contemporary, be warned that it's not an easy route. You will have to go right in front of the TTC and past the Polynesian and then loop around before you get onto World Drive.