I had this exact problem on my old Bobcat x325, would run fine for 15 mins or so then cut out. Blew through with air and i'd get it back for a while but always stopped again after 10 mins or so. If i let it sit 24 hrs it would run for 15 mins again. There was a gauze on the fuel pickup in the tank that was completely clogged with gummy resin. I removed the tank and cleaned it out, cleaned the pickup gauze and put it all back in. No problems since then and it's been a good 5 years or more now. I got that machine cheap and i'm guessing it's because the previous owner got fed up with it stopping and didn't know what was wrong.