Final answer:
The temperature in Coldspot is -7°F and increasing 2.5°F per hour, while the temperature in Frostberg is 19°F and decreasing 4°F per hour. It will take 4 hours for the temperature in the two towns to be the same.
Step-by-step explanation:
In order to find the number of hours it will take for the temperature in Coldspot and Frostberg to be the same, we can set up two equations and solve for the number of hours. Let's denote the number of hours as 'x'. The equation for the temperature in Coldspot can be written as: -7 + 2.5x, and the equation for the temperature in Frostberg can be written as: 19 - 4x. By setting these two equations equal to each other, we can solve for 'x'.
-7 + 2.5x = 19 - 4x
Adding 4x to both sides, we get: 2.5x + 4x = 19 + 7
Combining like terms, we have: 6.5x = 26
Dividing both sides by 6.5, we find: x = 4
Therefore, it will take 4 hours for the temperature in Coldspot and Frostberg to be the same.