Who's Going Faster?

Bill and Jane get on a Merry-Go-Round at the aumsement park. Jane decides to sit on a horse located 5 feet away from the center of the Merry-Go-Round. Bill decides to ride a pony located 9 feet away from the rotating disc's center. After they both got off, Jane commented, "Isn't that something? We were both moving at the same speed!" "No way!" Bill said. "I was going much faster than you!" So, what's your take on this situation? Who is correct here? Explain as best as you can on your vertical surface.