A. Living abroad isn't as easy as I thought. Each day presents you with a new challenge to overcome. - here, "to overcome" if referring to the action that "you" must take B. Living abroad isn't as easy as I thought. Each day presents you with a new challenge to be overcome - Correction: Each day presents a new challenge to be overcome - here, "to be overcome" refers specifically to "challenge" - "you with" would make this sentence incorrect, otherwise this sentence would work as well A is correct and B works as well if you take "you with" out. It is not more common to say one over the other. Hope this helps!