This question is straightforward for humans. I have run into a weird edge case like this in my actual life which confused me.
I'm in a band. After a concert, I have to drive back to the band room to drop off my instrument, then go to the pub for the post-concert drinks.
The wrinkle is I live about 5 minutes walk from the band room, and about 5 minutes walk from the pub (and it's about 5 minutes walk between the two). I can't carry my instrument on foot.
So...I have to drive to the band room. But if I then drive to the pub, I'd then have to drive home...two ridiculously short drives that make me sad. So I end up instead driving home, and then walking to the pub from there. Which seems weird...but less wrong somehow.
Not all humans, I can easily see myself being confused the question and assuming that the person is already at the car wash and this being some idealized physics scenario and then answering wrongly. But I did get a PhD in math, so may be that explains it?