The present invention detaches and attaches the back frame and the extension frame, so if the extension frame is removed from the back frame in the case of emergency and inserted into the back of the rack, the length of the rack is extended, so it can be loaded. It is equipped with a fully cushioned backrest, which not only provides a comfortable ride, but also prevents the back or waist from being injured by dangerous objects (long, pointed, etc.) loaded on the back, as well as a female thread inside the back of the back. The hinged screw rod is connected to the support tube, so it can move left and right as well as the structure of the variable rack with excellent function such that the height of the carrier is attached to the motorcycle by the lifting and lowering operation of the support tube.
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