Was traveling down the road about 45mph only about a mile from my house. Had been running errands all day so stang was good and warm. It shut off and then wouldnt start. Wouldnt even turn over once. Towed it home and a few hours later just for s&g I decide to try and crank it. Fired right up and purring. Getting confused I let it run and get warm about 10 mins. Take off burning rubber and no problems. I decide to go for a spin. Got about 12 miles from my house and it shut off again this time doing 60mph. Wouldnt crank. Towed home again. Now firing right back up. Any ideas about where to start. I have some mechanic experience and would like to do the work myself. She is a 2001 GT with approx. 180k miles. And dont tell me to junk it cuz it aint happenin.