There are 380 miles between Washington, DC, and Asheville, NC (as the bird flies).
583 road miles.
http://www.mapquest.com/maps?1c=Asheville&1s=NC&1y=US&1l=35.6008&1g=-82.554199&1v=CITY&2c=Washington&2s=NC
580
It is 224 miles according to Google Maps.
The "as the crow flies" distance is 99.85 miles.
136.8 miles 2:24 h
It is 197 miles according to Google Maps.
It is 248 miles according to Google Maps.
210 miles and about 3 hours 45 minutes to drive.
294 miles
400 miles