A gearbox is needed for an input shaft that rotates at 1000-1600 RPM and an output shaft that rotates at 75% (±1%) and 55% (±1%) of the input speed (same direction) and 25% (±1% ; both directions). The input power is 75 HP. The input and output shafts are along the same horizontal line (colinear).
Design a transmission that will be compact and quiet. Design the transmission assuming 1200 hours of operation in each of the same direction output speeds and 250 hours of operation in the reverse direction.