When did I say humans are carnivores? A nomadic party will obviously eat any fruit and vegetables they happen across, but there was a period of time when agriculture was unknown to humans. Anthropological evidence (mostly in mouth development) suggests that meat was part of our diet too, yet during our pre-agrarian years we had no tools for hunting. Given the evolutionary advantages our body provides for endurance running, a reasonable explanation as to how we hunted for our food is that we ran our prey to death. At these marathon distances, women and men do not differ significantly in performance. Furthermore, there is nothing dangerous or stressful about running prey to death as a pack. It would have been a common and simple activity that they were used to doing their entire lives. A deer cannot sustain an average speed of 6mi/hr as long as a human can, it will eventually overheat and collapse. The slowest human in the pack would still be able to outlast the deer, the fact that the fastest human in the pack could do it 30 minutes or even an hour faster makes no difference. And yes, the children did not participate in the chase, so some adults would have to lead the children at a slower pace.