Chrysler Repair: 1999 300m wont start when hot, crank sensor, engine computer

Question
Our 1999 300m will start fine when cool (first start of day).  After driving for some distance (10 to 20 miles).  We will park it and do some shopping.  Upon trying to start the car and leave, the car will crank, but not start.  If we let it cool for 20 minutes or so the car will start.  This has happend three time now. The car only has 74,000 miles on it and has been well taken car of.  Do you have any ideas?  Thank you in advance, Cassie Allen

Answer
humm  nothing comes to mind right off hand this might need to be something that some one needs to look at.  There might be some codes in the engine computer that might give some clue like a cam or crank sensor.I live in Atlanta I could take a look at it for u.