The strategy I used was when you have to close the first container, make sure you have one enemy still alive and close the container. I jumped onto the middle platform and waiting for him to jump up. Then jump down and he will jump down. Wait for him to get somewhat close and jump over him back to the middle platform. (I say “somewhat close” because you don’t want him too close to you when you jump or you’ll hit him.) After you jump the platform just power punch across to the end and wait for him to jump up. Jump down and repeat the process until the achievement pops. This 3 minutes feels like a long time, but if you keep to this strategy you’ll get it.
Also when flipping over the enemy I recommend doing back flips as opposed to front flips. With me, front flips seemed to move my character forward a little bit before actually flipping which results in hitting the enemy.