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I did a bit of looking on Google Maps, and I believe your map is probably correct. Estimating where you are (I40 in Continental Divide, NM), I found an exit 289 to Navajo Blvd 120 miles to the west, in AZ, to which Google says the travel time is 1 hour and 44 minutes.note that it is 121 miles to my exit, and I can make it to my destination, which is further away, in 42 minutes! That means about 180 mph if I figured right. LOL. Sadly, I had to pull off and gas up, and navigation was functioning correctly when I restarted.
With New Mexico being on Mountain Daylight Time and Arizona being on Mountain Standard Time, you gain an hour in route to the destination. So the current time 2:57pm + 1:44 - 1:00 = 3:41pm. So assuming your final destination is within a handful of minutes from the exit that seems pretty reasonable to me?