That sounds good. Rapid warm-up is a very desirable characteristic because
the fuel economy and emissions are terrible when the engine is cold, so
modern cars are designed to warm up as quickly as possible.
The time to worry is when it warms up rapidly and doesn't level off before
it gets to the red part of the guage. That could be a sign the coolant is
drastically low, the thermostat is jammed, or similar bad thing.
One note, though - with a commute that short you should drive the car far
enough to really warm it up (at least five miles at a stretch) a couple
times a week to drive the moisture out of the oil and exhaust. Condensation
from combustion is acidic and will shorten the life of the engine and
especially the exhaust if allowed to accumulate. You probably do that sort
of driving anyway, but it would be good to make it a point.
I agree with the other posters that told you that it's about normal.
However, if it is really cold--it will take longer. I once lived in
Virginia. After a major storm--it seemed like it took forever for the car
to get warm.
Since you drive such a short distance--on the way home from work--at least
once or twice a week--take about a 5 mile drive on the freeway or
interstate. Otherwise, your car will develop some problems. It would take
lots of words to explain the reasons--just take my word for it.
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