We had a bunch of snacks in our van and water/drinks. The team was split across two vans (runners 1-6 in Van 1, 7-12 in Van 2) so when our van wasn't in rotation, we had several hours to rest up and eat, recover. It's just important to have food that you know is easy to digest for you.
We had pb, crackers, pretzels, granola bars, someone had taboulli, bananas, apples, trail mix.
So for us (Van 1) we started in the morning on day one, each of us timed our snacking based on when we were going to run. Runner 6 for example, didn't run for several hours so she didn't eat breakfast and just waited until closer to her race time. After each runner completed her leg - she would often have a snack and/or recovery drink. V-8 was popular in our van. Then after our 6th runner ran, we had about 5 hours before we had to run again, so we went to a park along the route and had a little picnic and nap.
Then we ran again in the evening and after our second round of running, we went to the transfer station that had cots and showers set up and they also had a lot of food available so some of us ate a midnight snack.
Then our third round of running was the next morning so we just snacked as we needed too.
Since we were van 1, we actually finished running about 5 hours before the race ended for our team. We went to Chilis for lunch and then headed to the finish line to wait for the Van 2 runners to arrive.
So over the course of 24 hours (less for the faster teams) you are actually running just a few hours. You will have lots of time to be silly and have fun with your team and other teams along the course. For our runners, I don't think anyone started to really feel it until the third leg. Try to get out of the van as much as you can and stretch and use 'The Stick' or a foam roller if you can. Google on "the stick" - it was the most popular item in our vans.