There’s a stereotype that it’s declasse for us intellectual aesthetes to enjoy football, but I don’t care. I enjoy it anyway. Whether you spent any time this weekend watching football or not, I’d like to pose a quick and (maybe!) easy vaguely football-related problem to exercise your brain to make up for all the boob tube time:
You’re standing on the goal line of a standard football field and walk the 100 yards to the opposite goal line at a uniform speed of 2 miles per hour. Upon reaching the other side, you immediately turn around and jog back. How fast do you have to jog so that your average speed over the whole round trip is 4 miles per hour?
Remember: average speed is total distance divided by total time.
Bonus: Rework the problem by developing a nonstandard definition of “average speed” that better fits this particular question.