The invention relates to a grinding machine (1), which can be manually translated on a track (3), for grinding a rail (2) of the track (3), comprising a support frame (5), which is guided on the rails (2) by means of two rail guides (8) and on which a drive motor (10) is arranged, which drive motor is coupled to a height-adjustable grinding element (11). According to the invention, each rail guide (8) comprises a quick-change device (22), in which one of at least two rail guide systems (14, 15), which can be exchanged with each other, is fastened.