Is OTHER wrong in the post ? POST : I'm a lurker of this subreddit and if it wasn't for one detail I wouldn't think that I'm the asshole in this situation.

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Details: I'm a twin (18) living in Australia with me mum and twin. I got my P's just a few weeks ago, my sister on the other hand has done zero effort to get her license (for non aussies - in my state you have your learner license for min 2 years and need a total of 120 hours driving time). She only has her learner license for ID purposes. I've  made a huge effort to get my license and she refuses to even though she has the same grandparents that helped me (she hates them for a stupid reason) and our cousin has offered help.

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Now when I bought my car a couple years ago I paid $7000 and my sis paid $2000. This part has me stumped. If she didn't pay for any of it I wouldn't be asking if AITA. Mum says since she's paid for the car that I should give her rides everywhere (even to bloody Melbourne which is 2 hours away), and my car is no where near fuel efficient, apparently TSI = turbocharged supercharged yay! So I go up a hill and lose quater of a tank.  Not only that the tank is massive and takes a solid $75 to fill unless I go to Shell which I'd rather not.

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She regularly goes to Melbourne every 2nd weekend and takes the train. Normally she just walks there but today she asked for a lift and I said no because I didn't want to. I love driving but I'd rather not when I don't feel like it. She even tried to sweeten me in to it as I went to hang out the washing and she started to help but when I said nah she just left. 

It's currently not hot here, a cool breeze and there isn't ash falling from the sky today so it's not gonna harm her to walk 30 minutes to the station. 

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Am I the asshole for refusing to give my sister a lift to the train station?