One might ask...."Which Apaches"? We lived in Southern Colorado and near four reservations...the Jicarilla, Southern Ute and Ute Mountain Utes and Navajo. Their high school cross country teams would compete with various "non-reservation" towns and their "mixed race" teams. The overriding conclusion was that all the various Indian teams, whether Jicarilla Apache, Southern Ute, Ute Mountain Utes and Navajos, their obvious genetic disposition towards long distant running was more than obvious often crushing the non Indian teams.
I believe there are a number of similar historical accounts of Woodland Indians with the same long distance prowess. I suspect hundreds/thousands of years without the aid of horses, genetically improved most all indigenous peoples to cross country travel by foot. Most modern day folks would consider a 100 mile horse trip arduous at best. However there are many modern backpackers who make the Divide Trail from Mexico to Canada, annually. However running the distance with little water and food, depending on bare minimum is exclusively reserved to native Americans, Africans and....of course the Greeks!