Final answer:
To keep a ten-minute headway with a one-hour round trip schedule, six train crews are required to operate concurrently.
Step-by-step explanation:
The student has asked about the minimum number of train crews required to maintain a ten minute headway on a certain line between midnight and 4 AM, given that the round trip time including layover is one hour.
To answer this, one must consider the total operation time from midnight to 4 AM, which is four hours. Since a round trip takes one hour, this implies that a train can make four trips during the operation hours.
To maintain a ten-minute headway, six trains would need to be running concurrently to ensure that a train is departing every ten minutes. Therefore, each train requires a separate crew. Thus, the minimum number of train crews needed would be six.