Alright, so we know that A and Minato fought against each other a couple of times, yet they both managed to survive the war, so you can imagine that they were closely matched, I think it would be the same with 3rd. There are three options IMO:
1. Minato figures out 3rd weakness and defeats 3rd like Naruto did.
2. Minato uses Shiku Fuujin, its a draw.
3. Battle drags for so long that exhausted Minato cant fight anymore and 3rd ends him.
Although I think that Minato is overall stronger, Raikages are really though matches for him.