There may not be enough information here to give a complete answer. This could really go either way depending on how far back from the intersection the lane change occurred.
The fact driver B left the scene does not change that driver A is at fault (there are exceptions to driver A being at fault)Additional: While Driver A may have been the striking vehicle, Driver B MAY be at fault for "Changing Lanes Without Caution." Regardless of the circumstances of the collision itself, Driver B can be charged with "Leaving the Scene of an Accident."
Your question is slightly confusing. If you are saying that driver A was turning left and driver B attempted to pass them on the left then driver B is at fault because it is illegal to pass on the left except in a clearly marked passing zone (in which case as long as driver A had their directional signal on, driver B is still at fault).
Unless there is mitigating circumstances the driver in the rear that hit the car making the turn is at fault. You must maintain a safe distance between you and the car in front in order to avoid just such an accident. Now if the driver making the turn did not give a proper signal and stopped suddenly to turn, the rear car may have a case for it partially being the driver that was turnings fault, due to no signal being given. Which direction was the car that hit you travelling? If it was behind you going in the same direction, the first answer is correct. However, if it was going in the opposite direction and hit your rear quarter panel, you were turning left with on-coming traffic - your fault. If it was traveling either direction on the road you were turning onto, it would depend on the presence of any stop or yield signs or traffic signals.
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