The simple fact is, if you’re going to write what can only be described as a linking scene or a segue from one scene to another, it has to be, relatively speaking, commonplace. And in this case, what is more commonplace than two people riding home in a car. Does it matter who’s driving? No, not in the context of the scene, but in this case the female lead is young, only nineteen, and earlier in the book we’ve spent a lot of time dwelling on her motivation for taking the new job is that it will be the first time she can afford driving lessons. Since we haven’t yet shown her celebrating passing her driving test, and as we’ve made such a thing about taking the lessons, we couldn’t not have, it’s impossible for her to drive them home – so let the man drive. Simple? Yes.
Sometimes you can’t actually avoid that stereotypical situation, for the simple reason, it fits the plot and develops the story in the direction you want it to go. The trick is, as always, making it happen naturally.