An asphalt paving machine includes a drive system, an asphalt receiving hopper and a distributing auger. A hopper conveyor, which is adapted to transport asphalt paving material from the receiving hopper to the distributing auger, includes a hopper conveyor motor and a speed sensor. A vertically-adjustable flow gate defines the size of the gate opening from the asphalt receiving hopper to the distributing auger, and a flow gate position sensor is adapted to determine the vertical position of the flow gate. A controller includes a timer and is operatively connected to the drive system for the paving machine, the speed sensor for the hopper conveyor motor and the flow gate position sensor. The controller uses a machine speed signal, a conveyor speed signal and a flow gate signal to measure the amount of asphalt paving material delivered to the distributing auger per unit of time.