We have lots of both these critters in the desert. Surprisingly, they aren’t predators of each other. The rabbits eat grass and other green bushes they find in the desert. Roadrunners usually stick with lizards and other small prey.
The rabbits always find a way into our yard to get at the lawn. The back is walled in but the front isn’t. Rabbits eat all day long. It’s amazing they can eat so much. They can also make themselves skinny enough to fit between the pickets in the gate and through the Y-block we have as drains. Their bones must be very pliable.
He must have been hot
The other day I caught this one in the water dish cooling off.
Here's a jackrabbit napping in the front yard
This roadrunner is hunting in our backyard