Final answer:
The passageway shared by the digestive and respiratory systems is called the pharynx.
Step-by-step explanation:
The name of the passageway shared by the digestive and respiratory systems for air and food is the pharynx. The pharynx is a long tube that connects the mouth and nasal cavity with the larynx, allowing both air and food to pass through. It plays a role in respiration by conducting air between the nasal cavity and larynx, and in digestion by allowing swallowed food to pass from the oral cavity to the esophagus.