An electrically powered vehicle includes a frame mounted motor connected to pedals and to a rear driven wheel through an intermediate jackshaft. The motor is connected to the jackshaft through a chain or belt. The pedals are connected to the jackshaft through a chain or belt and a jackshaft-pedal freewheel which allows the pedals to drive the jackshaft, but prevents the jackshaft from driving the pedal. The jackshaft is connected to the driven wheel through another chain or belt, and a second freewheel allows the jackshaft to drive the driven wheel but prevents the driven wheel from driving the jackshaft using the same chain or belt. Another chain or belt may additionally connect the driven wheel to the jackshaft through a third freewheel to recharge batteries during braking or while coasting downhill.