The kings adviser died recently. He takes the three of the smartest wise men and gives them each a hat they cannot see. The king tells them that there are red hats and white hats. He says there is at least one white hat. One hour later one guy knows his hat color. What was his hat color and what were the other wise men's hat color?
All hats were white because it took the others too long to figure it out. If there were 2 red hats the guy with the white hat would know instantly. If there were two white hats he would figure it out sooner because they are the wisest people in the land.