The calculated distance (air line) between Qom and Shāhīn Shahr is approximately 129 miles respectively 208 kilometers.
By car or train, the actual journey to Shāhīn Shahr is certainly longer, as only the direct route (as the crow flies) between Qom and Shāhīn Shahr has been calculated here.
Air line (approximately)
208 kilometers
112 nautical miles