The distance between the start point and the destination is 52 miles, and will take approximately 1 hour 3 minutes of driving time.
Google Maps estimates the driving time as 15 hours.
You can't fly from St. Louis to Stamford, CT commercially. You can fly to New York from St. Louis, and that's a 2.5 hour flight. Then you'll have an hour drive up to Stamford, depending on traffic.
Train from Newark NJ to Stamford CT
about a week
First class 2 days
takes 2 business days
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The total distance between the two locations is 686 miles. It will take about 10 hours and 25 minutes.