If you're looking for a meeting place or a good stop around ½ or halfway between Louisville and Sparta, KY, you can try Tarascon, KY, which is about half an hour northeast of Louisville, or about half an hour southwest of Sparta, KY.
About ¼ or a fourth of the way, you can stop at Worthington Hills, KY. This is about 13 minutes east of Louisville.
About ⅓ or a third of the way, you can stop at Glenarm, KY. This is about 17 minutes northeast of Louisville.
About ¾ or three fourths of the way, you can stop at Langstaff, KY. This is almost an hour northeast of Louisville, or about 15 minutes west of Sparta, KY.
If you drive straight through without stopping at all, the total distance is 61 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 58 minutes.