after driving 20-30 miles, stop car, turn motor off then try to start engine won't start. acts like it will but won't complete starting cyc

What is your question?

problem occurs after driving only 20-30 miles.and engine has been turned off. when restarting the car will try to turn over but will stop. wait about 15-20 min try to start and it will. appears to happen when engine is hot. have replaced starter