Abstract: Disclosed is an adjustable speed gear apparatus that is installed on the hub shaft of the rear wheel of a bicycle to increase the driving speed and moving distance of the bicycle by two or more times on the average by improving the internal structure thereof in such a way so as to strengthen the support force of a transmission gear and to increase the coupling force between components, and can make the bicycle compact and light by constituting the wheels and crank of the bicycle to be small in size.