A method and system for operating a vehicle that includes a plurality of engine starting devices and an internal combustion engine is described. In one example, the method determines whether or not to inhibit automatic engine stopping so that a lifespan of an engine starting device may be extended. In one example, the inhibiting is based on a ratio of an actual total number of engine starts generated via the engine starting device to an actual total distance traveled by the vehicle since the engine starting device was installed.