In Indian Railways, some trains are given high priority, meaning they are so crucial that if another train is on their route, the railway authorities will halt the other train to allow these priority trains to pass. These high-priority trains include those run for specific purposes, such as VIP movements or essential services, as well as superfast and express trains. The priority ensures that these trains maintain their schedules and deliver passengers promptly, despite potential delays from other services. This system is crucial for managing the efficiency and reliability of rail operations across the network. For more details on which trains are given priority and how this impacts the overall railway schedule, viewers should check out the full video.