The 8:00 a.m. temperature in Denver was 52 degrees and decreasing 2 degrees every hour. In Gillette at 8:00 a.m. it was 41 degrees and increasing 2 degrees every hour. How many hours will it be when Gillette and Denver are the same temperature? What is the temperature?

Solution:

Gillette and Denver are the same temperature after x hours

52-2x = 41+2x

x = 2.75

So Gillette and Denver are the same temperature after 2.75 hours, the temperature is 46.5 degrees