It would be okay to use "was driving" instead of "had been driving" in the sentence. I prefer "had been driving," but "was driving" is correct, too.
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Cup cakeJane had been driving around with her husband before being stopped by a policeman.Fine. Explicit time sequence. 'before'
Cup cakeI just got back from teaching having told my students exactly what you have just said.Great minds run in the same channel?