The calculated distance (air line) between Rostov-na-Donu and Shakhty is approximately 40 miles respectively 65 kilometers.
By car or train, the actual journey to Shakhty is certainly longer, as only the direct route (as the crow flies) between Rostov-na-Donu and Shakhty has been calculated here.
Air line (approximately)
65 kilometers
35 nautical miles