A Timeless Moral Dilemma: Saving Friends Versus Proving Theorems

I found a silly online quiz with this question while I was searching for the quiz 'Prof or hobo?'

For those of you who don't know what it's like to be a mathematician, let me assure you that we face this kind of moral dilemma all the time.

(See, there is an alternative explanation for why some mathematicians don't have many friends.)