The calculated distance (air line) between Rychnov nad Kněžnou and Karlovy Vary is approximately 151 miles respectively 242 kilometers.
By car or train, the actual journey to Karlovy Vary is certainly longer, as only the direct route (as the crow flies) between Rychnov nad Kněžnou and Karlovy Vary has been calculated here.
Air line (approximately)
242 kilometers
131 nautical miles