BMW 318i drove the car for 3 miles and it was over heating.....
Have you checked that there is sufficient coolant/water in the radiator? And that there is sufficient airflow through the radiator? If both of these are ok then the most likely explanation would be a blockage in the coolant system.
Sounds like a defect in the specific car you were driving. These defects happen sometimes though they are extremely rare. I don't think this is something the represents the 318i series.
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