If you're looking for a meeting place or a good stop around ½ or halfway between Rochester, United Kingdom and Bradford, you can try Grantham, United Kingdom, which is a little over 2 hours northwest of Rochester, United Kingdom, or almost 2 hours southeast of Bradford.
Another possible place to stop near the midpoint is Stamford.
About ¼ or a fourth of the way, you can stop at Cambridge, United Kingdom. This is about 1 hour north of Rochester, United Kingdom.
About ⅔ or two thirds of the way, you can stop at East Retford, United Kingdom. This is almost 3 hours northwest of Rochester, United Kingdom, or a little over 1 hour southeast of Bradford.
About ¾ or three fourths of the way, you can stop at Doncaster, United Kingdom. This is about 3 hours northwest of Rochester, United Kingdom, or almost an hour southeast of Bradford.
If you drive straight through without stopping at all, the total distance is 364 km. 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 3 hours, 57 minutes.