The aim of this study was to determine the optimal traverse speed and rotational speed of a nozzle from an abrasive waterjet system for the dismantling and remodeling of concrete buildings as well as for underground excavations of urban areas. The abrasive suspension waterjet system with a flow rate of 14 l/min was operated at a water pressure of 100 MPa with an abrasive consumption rate of 3 kg/min. Concrete, granite, and obsidian specimens were slotted using the abrasive suspension waterjet and the effect of the traverse and rotational speed of the nozzle on the volume removal rate for each specimen was analyzed. The volume removal rate increased until a certain level of the traverse speed of the nozzle was reached and then it remained the same or declined at higher traverse speeds. The nozzle performed better at a rotational speed of 300 RPM than that of 500 RPM or higher in terms of economics. Higher values of traverse and rotational speeds did not guarantee a higher volume removal rate of materials in abrasive waterjet slotting.