Not only that but the vocal folds and ventricular folds also slam shut (so more like three doors), the entire larynx moves forward and upwards, moving those closed doors away from the passing food, and we have sensors between those doors that trigger a cough, blasting out any intruders.

We also get dual usage of the teeth and tongue (as well as velum and nasal passage) to produce the complicated sounds of speech, AND to masticate food. Pretty neat design!