An automobile transmission of the type having a drive shaft with a reverse gear thereon adapted to engage shift gear axially displaceable on a stationary axle. The shift gear is movable between an engaged position with the reverse gear for shifting into reverse and a position disengaged from the reverse gear. A synchromesh ring gear is provided on the drive shaft having a tooth profile corresponding to the reverse gear, thereby adapted to mesh with the shift gear, and is positioned to engage the shift gear when the shift gear is in the disengaged position. Preferably, the ring gear is formed of a non-metallic material; thus even though the ring gear constantly engages the shift gear when the transmission is not in reverse, virtually no transmission noise is generated.