Methods and systems are provided for a vehicle including a first motor coupled to a first gear train, a second motor coupled to a second gear train, and a spool lock configured to variably couple the first gear train and the second gear train, allowing a first torque output by the first motor and a second torque output by the second motor to be combined and output to a first wheel coupled to the first gear train or a second wheel coupled to the second gear train.

A controlling method for a vehicle which comprises an engine, a driving motor connected with the engine, a first clutch connected between the engine and the driving motor, a start motor connected with the engine, a transmission connected with the driving motor, and a second clutch connected between the driving motor and the transmission, comprises synchronizing speeds of the engine and the driving motor, and adjusting a torque of the start motor to release baulking which occurs while a connection state of the first clutch is switched to another connection state upon the speeds of the engine and the driving motor being synchronized.