The calculated distance (air line) between Villefranche-de-Rouergue and Limoges is approximately 109 miles respectively 176 kilometers.
By car or train, the actual journey to Limoges is certainly longer, as only the direct route (as the crow flies) between Villefranche-de-Rouergue and Limoges has been calculated here.
Air line (approximately)
176 kilometers
95 nautical miles