The calculated distance (air line) between Bakhchysarai and Stary Krym is approximately 63 miles respectively 102 kilometers.
By car or train, the actual journey to Stary Krym is certainly longer, as only the direct route (as the crow flies) between Bakhchysarai and Stary Krym has been calculated here.
Air line (approximately)
102 kilometers
55 nautical miles