Girls: Which response was better?

I'm from Singapore and male. I went for a concert on Sunday night with my cousin and his friend. His friend stays pretty close to where I stay so he asked if I could pick her up(never met her before). Picked her up, concert was good and I was dropping her home. She mentioned that she had sprained her back and asked if I could drive a bit slower because her back hurt when I drove fast.
So she asked me which school I was from. Now I studied in a school which was strictly an all-girls school till around 15 years ago but has since become a co-ed school. I told her the name and she said 'Oh, isn't that a girls school?'. I jokingly drove a bit faster and said, 'There, that's for saying its a girls school'. She laughed. I told this to a friend of mine and he said ,'Dude why did you say that? You should have said something like, yeah it's a girls school why do you think I went there?'
I think I like this girl and am thinking of asking her out on my own soon. Do you think I should have said what my friend said or was it okay what I said?

Oh ffs, just tell her you want to date her. Simples.

Driving fast doesn't impress any girls I know. But stop over analysing it! The moment has passed!

Didn't you understand the situation? I didn't drive fast to impress her. She said driving fast hurts her back. So when she asked if I was from a girls school, I intentionally drove fast and said, 'there that's for asking if I studied in a girls school' with a smile!

Did you then brake rapidly throwing her through the windscreen?

She probably hasn't given it a second thought so why are you?

I just want to know which response was better. Bit of a bet with my friend