Marvel DC Crossover

Who would win  in a fight:  Captain America  or  Batman  ?

comparison of physical abilities (I’m gonna dive into each category and issue the most impressive ones) . 

Strength wise starting with Ben Affleck's Batman

Able to pull up an I-beam with the help of another person (I’m assuming a standard I-beam would weight around 9 tons max). 

Able to power-lift approximately 764 pounds. 

Striking feats:- Generates enough force to a punch someone into the floor. Generates enough force to break cinder blocks.

Durability: Has an armored suit which is fireproof , bulletproof, immune to knife shots and can take plasma attacks.

Speed, agility and reflexes: Was fast enough to catch the flash. Fast enough to react from shotgun shots. Fast enough to deflect doomsday.

As far as fighting skills is concerned: According to key issues, Batman is proficient in Boxing, Muay Thai, Tae Kwon Do, Savate, Krav Maga, Ninjutsu, Kung Fu, Judo and Aikido.

Now Chris Evans's Captain America in terms of strength:

Able to pull up an approximately 30–50 tons beam (taking into account, he was shot by bullets 5 times in the chest and waist area and was exhausted due to a fight).

Able to push a 58 tons bulldozer faster than Deathlok according to trainer.

Striking feats: Kicks a 3000 pounds van hard enough to dent it and send a man flying few meters away. Has thrown his shield hard enough to destroy

the turret of a tank. Kicks table hard enough to knock out aliens. Generate enough force to tear a punching bag and sent it flying away. There are much more striking feats than this but i won’t go into details.

Durability: Survives from a plasma explosion, thrown out of a building only to hit a car and come back up.

Jumps from a great height and stands up without any visible damage. He also air-dropped without a parachute into sea water.

He is able to take hits from Iron Man, Winter Soldier’s metal arm, Quick Silver and Spiderman, and still recover.

Fine after this: Got shot 5 times and had knife wounds but still able to get back up. Again there are much more feats but i won’t go into details. Speed, agility and reflexes:

Able to jump from car to car while they were moving. Jogs 13 miles over 30 minutes and is able to outrun vehicles such as SUV approximately at 63–73 mph. Can jump way too far.

He has also evade of lot of gunshots and grenades with his superhuman reflexes and much more.

Fighting Skills: According to key issues, Cap is proficient in Muay Thai, Boxing, Discus Throwing, Krav Maga, Savate, Tae Kwon Do, Wushu, Judo, Wrestling, Brazilian Jiu-Jitsu and Shuriken Jutsu.