The 500-Mile Race became part of the Formula One World Championship for 11 years ( 1950 â `` 1960 ) . None of the regular Indy drivers raced in Formula One . The trackâ s reputation improved so much the 500-Mile Race became part of the Formula One World Championship for 11 years ( 1950 â `` 1960 ) , even though none of the Indy drivers raced in Formula One and only Ferrari 's Alberto Ascari of the F1 drivers at the time raced in the 500 .