If you're looking for a meeting place or a good stop around ½ or halfway between London and Worthing, you can try Crawley, United Kingdom, which is almost an hour south of London, or almost an hour north of Worthing.
About ⅓ or a third of the way, you can stop at Redhill, United Kingdom. This is about half an hour south of London.
If you drive straight through without stopping at all, the total distance is 97 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 1 hour, 52 minutes.