Current bicycle mechanisms allow only alternate use of pedals, thus halving possible torque. A new arrangement allows simultaneous use of both pedals. The TEJJ cycle uses the force of alternately pushed pedals to start or maintain momentum. When carrying higher loads or climbing a hill, a rider can also optionally push both pedals simultaneously to increase torque. Springs return the pedals to their optimum driving position, and the main driving gear freewheels even as the pedal returns to the driving position. The new mechanism has application for pedal-driven carts of all kinds, and in pedal-driven vehicles for the disabled.