I'm in the friendzone with a girl from my work. I tried being more sexual with her but it kinda backfired and she got pissed with me for some time, although now it seems everything is fine.

In order to make amends I've been accepting the friendzone and playing along for the last month. This morning her car woudn't start and she asked if I was at work already. I was still at home and since her place is on the way I offered to pick her up. Now, given the fact that her car is an OPC (and I don't mean a fast Vauxhall, I mean an Old Peace of Crap) it's unlikely that it will drive again anytime soon. She is now with a mechanic and I told her to text me if she needs a ride tomorrow morning.

If she does should I keep providing transportation (keep in mind we have the same schedule and for me to swing by her house it's just a 3 minute detour, wheile if I say no she has to spend more than half an hour on the bus or pay a pricy cab fare) until she has it sorted out or remove these previleges, showing her the perks she is missing for not being my GF?

I don't understand this whole "friendzone" thing.

If a girl is your friend, she is your friend. If you want to fuck her and the only reason you hang out with her is for the hope that one day you will fuck her, then that's desperate behavior. Get more options instead of orbiting a chick for a possibility and sex. If you want to fuck her but honestly consider her your friend then be her friend.