An automated guided vehicle system is being planned for a warehouse complex. The AGVS will be a driverless train system, and each train will consist of the towing vehicle plus four carts. Speed of the trains will be 160 ft/min. Only the pulled carts carry loads. The average loaded travel distance per delivery cycle is 2000 ft and empty travel distance is the same. Anticipated travel factor = 0.95. Assume reliability = 1.0. The load handling time per train per delivery is expected to be 10 min. If the requirements on the AGVS are 25 cart loads per hour, determine the number of trains required.