I hiked the CT in 50 days, so the time it took me from town stop to town stop would not be reasonable for your trip. It should be pretty easy to figure a rough estimate of how many days worth of food you’ll need If you have a 33 day limit, which means a 14.2 mpd average.
Start to Breckenridge ~101 - approx. 7 days of food
Breck to Twin Lakes ~74 - approx. 5 days of food
Twin Lakes to Salida ~70 - approx. 5 days of food
Salida to Creede ~87 - approx. 6 days of food
Creede to Silverton ~64 - approx. 4.5 days of food
Silverton to Durango ~72 - 5 days of food
A couple thoughts: 14.2 mpd is very reasonable over the long haul, but especially if you’re coming from lower elevations to start out, you may want to go a bit slower for the first stretch as you acclimate. Fortunately, the trail does not start out at 12,000’ in Denver, but by day 2-3 you will be approaching 10,000’. You can make up significant time on the trail from Salida to Creede. However, you may want to slow down near the end of this stretch in the fabulous La Garita Wilderness to enjoy it. Also, Creede is a bit of a hike off the trail, Lake City is a good alternative in my opinion, especially if you’re pressed for time. If possible, you may want to try to pick up the pace earlier on in the hike to enjoy slowing down in the San Juans, which are outstanding. Good luck. -Matt
Sweeper