Due north.
Departing Texas you would travel north to reach South Dakota.
North Dakota is located within 2 time zones: Central and Mountain. Most of Texas is located in the Central Time Zone, with a small part located in the Mountain Time Zone. So, if you want Central Time in both North Dakota and Texas, the time would be the same: 4:00 am. If you want Mountain Time in both North Dakota and Texas, the time would be the same: 4:00 am. If you want Central Time in North Dakota but Mountain Time in Texas, it would be 3:00 am in Texas. If you want Mountain Time in North Dakota but Central Time in Texas, it would be 5:00 am in Texas.
North Dakota is located within 2 time zones: Central and Mountain. Most of Texas is located in the Central Time Zone, with a small part located in the Mountain Time Zone. So, if you want Central Time in both North Dakota and Texas, the time would be the same: 4:00 am. If you want Mountain Time in both North Dakota and Texas, the time would be the same: 4:00 am. If you want Central Time in North Dakota but Mountain Time in Texas, it would be 3:00 am in Texas. If you want Mountain Time in North Dakota but Central Time in Texas, it would be 5:00 am in Texas.
Departing Texas you would travel north to reach South Dakota.
You would travel northeast to get from Texas to New York.
Travel north.
North, maybe northwest.
North
the direction is north.
If it's a straight trip, you would fly over the Great Plains states, due south through South Dakota, Nebraska, Kansas, Oklahoma, and finally through Texas.
4 A.M. Texas is directly south of North Dakota, so the time would be the same. However if you live in the southwestern corner of North Dakota, the time would be 1 hour later, 5 A.M.