If you're looking for a meeting place or a good stop around ½ or halfway between Philadelphia and Arlington, VA, you can try Edgewood, MD, which is a little over 1 hour southwest of Philadelphia, or a little over 1 hour northeast of Arlington, VA.
About ¼ or a fourth of the way, you can stop at Newark, DE. This is almost an hour southwest of Philadelphia.
About ⅓ or a third of the way, you can stop at Elkton, MD. This is almost an hour southwest of Philadelphia.
About ⅔ or two thirds of the way, you can stop at Baltimore, MD. This is about 1½ hours southwest of Philadelphia, or almost an hour northeast of Arlington, VA.
About ¾ or three fourths of the way, you can stop at Ellicott City, MD. This is about 2 hours southwest of Philadelphia, or about half an hour northeast of Arlington, VA.
If you drive straight through without stopping at all, the total distance is 145 miles. The distances shown above don't include local roads to get into each town, so if you're planning a long road trip, make sure you factor in traffic and road conditions, rest stop breaks, and interesting detours along the way. If you're in a rush, you can do the trip with zero stops, and your total travel time would be around 2 hours, 31 minutes.