https://web.mit.edu/jemorris/humor/500-miles
Here's a problem that *sounded* impossible... I almost regret posting the story to a wide audience, because it makes a great tale over drinks at a conference. :-) The story is slightly altered in order to protect the guilty, elide over irrelevant and boring details, and generally make the whole thing more entertaining.
I was working in a job running the campus email system some years ago when I got a call from the chairman of the statistics department.
"We're having a problem sending email out of the department."
"What's the problem?" I asked.
"We can't send mail more than 500 miles," the chairman explained.
I choked on my latte. "Come again?"