It could hardly be considered medical terminology, but the term "wrong pipe" is actually quite accurate for when someone coughs or gags while eating or drinking. We really do have two pipes descending from the back of our throats; the correct pipe, the esophagus, is for swallowing food, and the “wrong” pipe, the trachea, is for breathing, which is why it’s protected by a flap of tissue called the epiglottis.