Earlier quoted context omitted.
He was fine as far as we all knew. He ended up leaving to go back home a few months after, and I wasn't close so we didn't stay in touch. I can't give a long-term prognosis, but I imagine the human body probably has mechanisms to deal with that sort of thing. He didn't feel concerned enough about it to go to the hospital afterwards, and we were just college students so we didn't feel we had any reason to override his…
For future reference, go to hospital. The lungs are a one-way system and can't digest things - any object going in either comes out the same way or sits around. That lump of food will have rotted, and would be a significant infection risk.
Basically, in my experience, if I've ever inhaled water (never food) I generally find that there's several minutes (or hours depending on quantity of fluids) of intermittent coughing where I feel like my body is doing something to make it easier for me to expel the fluids.
In terms of food, depending on quantity I was imaginging over course of several days (weeks?) perhaps the body is able to expel the solids in similar fashion.
My roommate was not a very talkative person, but we did hang out quite a bit while he lived with us, and nothing ever appeared abnormal, and he never got sick so I'm guessing he just kept the messy details to himself.