The calculated distance (air line) between Al Maḩmūdīyah and Al Ḩayy is approximately 115 miles respectively 186 kilometers.
By car or train, the actual journey to Al Ḩayy is certainly longer, as only the direct route (as the crow flies) between Al Maḩmūdīyah and Al Ḩayy has been calculated here.
Air line (approximately)
186 kilometers
100 nautical miles