I agree that this might not be the most typical example for the usage of these two tenses, however to me the past perfect continuous does something in this sentence that neither the past continuous nor the past perfect simple can do: It suggests duration and also that, although the car-washing activity had stopped,
there was still evidence of it when I came. In other words, perhaps the car was still dripping, maybe he was just putting his car-washing gear away, possibly his clothes were a little wet, etc.
Compare:
When I went into his room, it was obvious that my five-year-old son had been eating cookies in bed.Though 'eating cookies' had stopped/ended, the evidence of it was still there: crumbs on the sheets, maybe some remnants of chocolate on his mouth, empty bag of cookies on the floor next to the bed, guilty expression on my son's face, etc.