How many minutes does someone have to live after the aortic aneurysm ruptures?

Not many. It depends on how fast the blood is leaking. There sometimes is time to get the patient to the operating room and repair the aneurysm so it does not necessarly cause immediate death.
Few. The time depends on the type of rupture and how fast this results in shock..If you make it to the hospital and it is not a level 1 trauma center, the surgeon, the operating room team, the blood autotransfusion team , may have to come from home or you may need transferred. The only thing that makes any difference is how quick the aortic bleeding can be stopped and replenished, time is everything.