>>25567570Now, if Batman learns he is to fight Cap in 72 hours, while Cap will have no foreknowledge, Batman would likely spend the time researching all available data on Cap's abilities (e.g. strength, tactical ability, 'powers'), and learn anything he can about him. From this, he could gauge Caps ability to fight him. After that, he would devise several strategies, and backups for all of them, giving him a large advantage over Cap. To further give him an advantage, Batman could quickly create or obtain extra tools for use against Cap.
After the 72 hour period, Batman and Cap would meet. Cap would have a gigantic disadvantage, knowing nothing of his opponent, while Batman would be prepared for anything Cap could do. Who knows how the battle would go, but it would inevitably end with Batman winning simply due to the advantage given with the 72 hours.
Without the preptime bonus, Batman would still have the advantage, having several disposable projectiles compared to Caps one. He would also have a maneuverability bonus, because his zipline allows him superior ease of movement. At this point it would probably come down to the area they fight in (e.g. who knows the area better, who can move better in that environment) and is almost impossible to predict the outcome of.
So, to answer your question, Batman wins.