Speedway is a town in Marion County, Indiana, United States. The population was 12,881 at the 2000 census. Speedway is the home of the Indianapolis Motor Speedway, from which the town derives its name, and is completely surrounded by the city of Indianapolis itself. Speedway apartments for rent comparison page shows most up to date rent information on Speedway apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.