Engine won't restaart after running 10-15 miles

Some of these cars had Mass Air Flow sensor (MAF) problems. Does the Check engine light stay on when it's running? If so, it would have trouble codes stored and would be a help in diagnosing this car. You don't say which engine it is. Also possible it's got a fuel pump problem but more likely a MAF problem if it hasn't already been replaced with an updated unit. Get the car to a mechanic with a scanner who can check this out. These cars are usually very reliable.