A portable system for heating aggregate material, especially reclaimed asphalt pavement (RAP), a portable system for producing asphalt, a portable system for continuously repaving roadway, and a method for continuously repaving roadway. Each system includes a conveyor belt, at least one infrared chamber disposed in substantially parallel relation to the conveyor belt at a distance sufficient to allow infrared heating of the aggregate material, a source of fuel, a fuel control in communication with the infrared chamber, and at least one mixer disposed between the infrared chamber and the conveyor belt and dimensioned and disposed relative to the conveyor belt so as to mix the aggregate material during heating and drying.