A drive system for use with a bicycle includes first and second gears arranged so that the second gear is rotatably driven responsive to the first gear. A freewheel is operatively coupled to the second gear, and a drive sprocket is operatively coupled to the freewheel. The freewheel causes the drive sprocket to be rotatably driven only when the first gear is driven in either the first direction or the second direction. A driven sprocket may be mounted coaxially and in driving relationship with a wheel of the bicycle. A chain may be used for linking the drive sprocket and the driven sprocket. First and second levers extend from a support bar, which is coaxially mounted to the first gear. Reciprocal movement of the first and second levers causes the first gear to rotate, and correspondingly causes the second gear to rotate, thereby effecting rotation in the drive sprocket and the driven sprocket.