A vehicle is driven from an electric motor through a compound gear train with N_{1} = 20, N_{2} = 100, N_{3} = 25 and N_{4} = 75. The efficiency of the first stage is 94 % and of the second stage 96 %. If the final drive requires a torque of 100 N·m at 200 rpm, determine the required speed (rpm) and torque (N·m) of the motor. (Take N_{1} on the motor shaft, N_{2} and N_{3} compound on the intermediate shaft, N_{4} on the output shaft; N = number of teeth; first stage N_{1}–N_{2}, second stage N_{3}–N_{4}.)