There is no specific answer to this, because the answer will change slightly every single day, and will change drastically over the weeks and months.
On a simple level, it is easy to say that within a single time zone, locations to the east will have an early sunrise, while those in the west will have a late sunrise. But that ignores the fact that that in the summer, locations in the north will be extremely early, while those in the south will be only moderately early. And in the winter, sunrise will be extremely late in the north, while it will be only moderately late in the south.
To confuse things further, the above paragraph is speaking only of areas north of the equator. If you add the southern hemisphere to the mix, it complicates it even further. (At the equator itself, sunrise varies by only a half hour all year long.) [Hmmm… Actually, this paragraph is true of both the northern and southern hemispheres; the complication is that “summer” and “winter” occur in different parts of the year.]
Here are two simple examples: Boston and Miami are both in the Eastern time zone, but Boston is to the northeast, and Miami to the southwest. (In order to better demonstrate these concepts, I have omitted any adjustment for Daylight Time in the below.)
Jan 1: Boston 7:13, Miami 7:07
Feb 1: Boston 6:59, Miami 7:05
Mar 1: Boston 6:20, Miami 6:45
Apr 1: Boston 5:28, Miami 6:13
May 1: Boston 4:41, Miami 5:45
Jun 1: Boston 4:09, Miami 5:30
What you see from these times is that in Boston, the times vary by almost three hours, because it is in the north, where it gets very extreme ----- Think about the north pole! And in Miami, for the same period, it varies by little more than an hour and a half, because the equatorial regions lack the extremes found at the poles.
In the spring (and fall), the above don’t apply, and all points on a north-south line will have sunrise at the same time. But those in the east will have it first, and those in the west will have it later. This accounts for most of the 45-minute disparity on April 1.