The calculated distance (air line) between Zikhron Ya‘aqov and Bet Shemesh is approximately 58 miles respectively 93 kilometers.
By car or train, the actual journey to Bet Shemesh is certainly longer, as only the direct route (as the crow flies) between Zikhron Ya‘aqov and Bet Shemesh has been calculated here.
Air line (approximately)
93 kilometers
50 nautical miles