No one. NO ONE in medicine, in any specialty pushes themselves this hard, this consistently on a per hour basis. I'm not saying other specialties don't work hard. They do. But none have anywhere near to work density of EM. There is nearly zero downtime in EM. Almost everything else has some form of downtime interspersed, in some form. EM doesn't. This is due to the "anti-dumping law" EMTALA. It was put in place in 1986 by Congress as there was a critical need to prevent you from ever taking a dump on your shift.
An EP does 1.5 hr of heavy lifting per every 1 hr worked. One hr of EM work = 1.5 hr of anything else.
One time, I saw 99 patients in a two day stretch (2 12-hr shifts back to back, so 4.1 PPH) with decent acuity including a 22 yo with bacterial meningitis, at an ED that accepts ambulances (not an urgent care). There was a hundredth patent I could have seen in the last five minutes of the second shift but I didn't pick it up. I refused. I decided my brain would have exploded if I had to see 100 in 36 hr time frame (between 7am day one, and 7 pm day two, of two 7-7 shifts).
2 PPH is sustainable over the long hall, but with high acuity, 2 pph is by no means a cake walk. 4 PPH over any sustained time frame is brutal, with any significant acuity. A lot depends on the system, EMR, ease of admitting, acuity as mentioned and other factors, so there's no blanket number to cover all sites. 3 PPH at some places is easier than 1.8 PPH at some others.
Sometimes residencies give you and overblown goal with the purpose of motivating your to push yourself, maximize efficiency and find your limit. They may not expect you to hit the numbers goal, if they seem outrageous. Don't freak out about some unattainable numbers goal. Just stay middle of the pack, at your site.
The goal should be to hit your PPH goal and get out on time, not stay 2 hr to chart. It may inflate your PPH numbers to stay 2 hr late, but if you calculate your pay in a $/hr format, by staying 2 hr late on an 8 hr shift, you're cutting your hourly pay by 20% to boost your PPH 20%. It also boosts a 144 hr month (18 8hr shifts) to 180 hours (now 18 10hr shifts) and all of a sudden you're wondering why you feel burned out on 144 hr per month. Well, it's because you're staying 2 hr late every day trying (unsuccessfully) to cram 10 hr worth of patient in 8 hr so you look better on paper.
Take home point:
Look at the bell curve of your fellow docs/residents in your ED and find out what the average PPH in your system is. Don't try to be the fastest and try not to be the slowest one or two, and you'll be fine.
Bonus point: Cherry picking 2 zero-acuity patients at the end of every shift can but your numbers up dramatically on the PPH bell curve. Blasphemy, I know, but everyone does it. Only the liars don't.