Whittington, together with his brother Don Whittington and the German professional Klaus Ludwig, multiple winner at Le Mans and elsewhere, competed in the 1979 24 Hours of Le Mans in a Porsche 935. Ludwig did most of the driving in the heavy rain, as the brothers did not have substantial racing experience prior to the late 1970s. Bill's brother Dale Whittington also competed in open wheel racing. Together with Randy Lanier they owned the "Blue Thunder Racing Team" in 1984, with Marty Hinze. Bill also raced in the Indianapolis 500 five times with a best finish of 14th in 1985.