I am assuming both of the locations you gave are in North Carolina? if this is correct, the following is what you want to know;
If you take I-795 N, it is 51.8 miles, If you take I-95 N, it is 67.0 miles, == And will take either 59 minutes on I-795 N, == And 1 hour 18 minutes on I-95 N,
Below I have given the directions using I-795 N; If you want the I-95 N directions, You can use www.mapquest.com , Or i Used Google Maps, Here is the site and directions; http://maps.google.com/maps?sourceid=navclient&ie=UTF-8 
Driving directions to Rocky Mount, NC 51.8 mi about 59 mins Suggested routes I-795 N 51.8 mi 59 mins {I-95 N 67.0 mi 1 hour 18 mins}
From Goldsboro, NC
1. Head north on N Claiborne St toward E Mulberry St 0.2 mi 2. Turn left at E Ash St/US-70 1.8 mi 3. At the traffic circle, take the 2nd exit onto W Ash St/US-117/US-70 Continue to follow W Ash St 1.0 mi 4. Turn right at I-795 N 25.7 mi 5. Take exit 38B to merge onto I-95 N toward Rocky Mount 18.8 mi 6. Take exit 138 to merge onto US-64 E toward Rocky Mount/Tarboro 2.7 mi 7. Take exit 467 to merge onto US-64 toward Sunset Ave/Buck Leonard Blvd 0.8 mi 8. Turn left at Country Club Rd/NC-1616 0.8 mi
End at; Rocky Mount, NC
hopefully this helps you
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