A transmission gearbox for a rotary-wing aircraft includes a main gearbox and a variable speed gearbox in meshing engagement with the main rotor gearbox. The variable speed gearbox permits at least two different RPMs for the main rotor 
system without disengaging the engine(s) or changing engine RPMs. The variable speed gearbox includes a 
clutch, preferably a multi-plate 
clutch, and a 
freewheel unit for each engine. A gear path drives the main gearbox in a “high 
rotor speed mode” when the 
clutch is engaged to drive the main rotor 
system at high rotor rpm for hover flight profile. A reduced gear path drives the main gearbox in a “low 
rotor speed mode” when the clutch is disengaged and power is transferred through the 
freewheel unit, to drive the main rotor 
system at lower rotor rpm for 
high speed flight. The variable speed gearbox may be configured for a 
tail drive system that operates at a continuous speed, a 
tail drive system that changes speed with the main rotor shaft or for no 
tail drive system.