Kansas City (9-5) also scored touchdowns following a drive-extending penalty by Baltimore and a failed fake punt.
With the victory, the Chiefs became the first team in NFL history to follow a five-game skid with eight successive wins in the same season. Kansas City also kept itself in the thick of the AFC playoff picture.
Baltimore (4-10) lost its third straight and fell to 2-5 at home. It's the first time in their 20-year history that the Ravens have lost five home games.
*Copyright 2015 by The Associated Press *