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I did my math right then wrote it down wrong. 96 ft/ 6 seconds. I corrected the edit. There is very little slow down in olympic/world record times up to the mile even these days. Because the mile is considered a sprint. The world record mile was 3:43... which is an average of 142 ft/ 6...

I think if you take into account dash actions available to characters (single dash for everyone but rogues and monks) and the chase mechanics already described in the DMG it covers every instance I can think of for someone to be running fairly well. In combat just stick with dash action economy...

To answer your last question, the basic CFT (Combat Fitness Test) for the USMC requires an 880 yard run in 2:45. That's an average of 96 ft/second*** if I did my math right. This is done in boots and utes (combat boots and utility uniform). In full kit (body armor, weapons, ammo, radios...