Until the dog is fully domesticated (OK, I'll go home and await his return. He'll bring me meat!), I don't know how they could cooperate on a many-hour hunt like this.
I used to wonder the same about falconry until I met a hawkmaster. The animals don't take prey far away where they'd be hard to find; they hover or perch near the humans in open fields, where they are trivial to find.
I also wondered why they don't just eat the prey. It's because that involves lots of effort; they know a human will shortly arrive with tasty food that isn't wrapped in tough fur. Basically, they trade a package of hamburger for a Big Mac.