Goodyear ran from 1969 to 1976 kart race in 1980 for the first time a race in a Formula Ford at Mosport Park. In 1986, he won his first title, the North American Formula Atlantic Championship; he won this season, five of nine races. In the same year, he was named by the Association of Canadian racer to the Driver of the Year.
His first Champ Car race denied Goodyear in 1987, the first victory he achieved in 1992 at the Michigan International Speedway. In the same year he was involved as a runner-up at the date closest finish of the Indianapolis 500, where he was inferior Unser Jr. by only 43 thousandths of a second to the winner Al. The last time he entered 2001 in this race, but retired after an accident on the eighth lap, in which he incurred a serious back injury. After he had recovered thereof, he announced his withdrawal from the Champ Cars.
2002 Goodyear was inducted into the Canadian Motorsports Hall of Fame. Since 2003 he works as a motorsport commentator for ABC and ESPN.