Many years ago when I was younger and I lived in Sydney I had a Girlfriend in Ballarat. Every second weekend I drove from Sydney to Ballarat. The fastest time I ever did it was 9 hours. You should allow 12-13 hours, bearing in mind that kids get very restless after about 4 hours. On top of this, which will add to your fatigue, is that if you are not used to long distance driving and I mean over 5 hours you will get very tired very quickly. This will mean that you will require more breaks more often the further you go.
I would expect 13 hours will get you there alive. Best of luck.
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