10 hours and 30 minutes.
5am in New Jersey (Newark) is 4am in Texas (Houston).
About 450 miles, or 8 hours driving time according to Google Maps. You did not write where in New Jersey you are driving to. The actual time could be shorter or longer, depending on where in New Jersey you are driving to.
In a car about three days driving very very fast, a week driving normally. Not long at all by airplane.
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The number of miles and travel time from New Jersey to Texas will vary depending on the exact cities. The average travel time is 26 hours and 1700 miles.
There is a one hour time difference between New Jersey and Dallas.
The driving distance from Cranbury New Jersey to Long Branch New Jersey is 36 miles per Map Quest. The driving time per Map Quest is 51 minutes.
About 1,750 miles driving distance.
The route with the shortest driving time is about 220 miles.
Given is the calculated distance as well as the driving travel time, which does not take into account driving conditions, traffic, etc. The distance between Newark, New Jersey and Houston, Texas is 1,621 miles. The resulting travel time is 1 day and 2 hours.
Forty Five minutes with the new toll roads
Texas and New Mexico share a state line. So, to answer your question, there is NO driving time between the two states.