An apparatus for use on bicycles having a front brake, a rear brake, a left hand brake lever and a right hand brake lever wherein, regardless of whether the left or right hand brake lever is actuated, or both brake levers simultaneously, the rear brake of the bicycle is preferentially actuated such that the rear brake is applied first and with more force than the front brake. The apparatus includes a housing for mounting on the bicycle, a front brake actuator connected to a cable extending to the front brake and a rear brake actuator connected to a cable extending to the rear brake one of the actuators having two pulleys thereon, each of the cables from the brake levers looping around the pulleys and attaching to the other brake actuator, and including a spring applying a bias to resist the movements of the front brake actuator.