Humans tended to hunt animals to exhaustion. The sprinting predators you're talking about stalk in close then sprint to take down their prey; groups of hunter-gatherer humans have instead tended to chase animals a long distance at moderate speed until the animals drop from exhaustion. It makes it easier to take them down, when you consider that humans are not really going to be jumping on the back of a buffalo and biting its neck to kill it.
So you don't tend to see animals running for hours because that's a human speciality (among predators), and it's part of why we've been so successful as a species, despite our physical weakness compared to other predators.