A conveyor dishwasher (2) has a control apparatus (50) for automatically setting the quantity of final rinse liquid sprayed in the final rinse zone (18) per unit time as a function of the conveying speed and/or as a function of the type of washware conveyed through the final rinse zone (18). A rinse aid metering apparatus (57) is also provided which is designed to add in a metered fashion a constant quantity of rinse aid per unit time to the fresh water provided for final rinsing purposes independently of the quantity of final rinse liquid sprayed in the final rinse zone (18) per unit time.