The title and some of the comments assume it would be something like if you take 15 extra minutes you would just die. When in reality it would just be an increase in cancer risk. If it were THAT contaminated they'd use the AREA CLOSED the article mentions anyways.
To be fatal within days you need about 10,000 mSv of exposure. Even with heavy fallout, exposure would probably be around 10 mSv per hour.