Question

The temperature of the cold spot is -7°F and increasing 2.5°/h. The temperature in Frostburg is 19°F and decreasing for degrees per hour. How long will it be until the temperatures are the same hours

Answer 1

To solve for the time until the temperatures in the cold spot and Frostburg are the same, we can set up an equation based on the information given.

Let \( t \) be the time in hours until the temperatures are equal.

**Cold Spot:**
- Initial temperature = -7°F
- Rate of increase = 2.5°F per hour
- Temperature after \( t \) hours:
\[
-7 + 2.5t
\]

**Frostburg:**
- Initial temperature = 19°F
- Rate of decrease = \( d \) degrees per hour (we'll assume this is a constant rate)
- Temperature after \( t \) hours:
\[
19 - dt
\]

Setting these two expressions equal to each other:
\[
-7 + 2.5t = 19 - dt
\]

To solve for \( t \), we need to know the value of \( d \) (the rate of temperature decrease in Frostburg). If you provide that value, we can substitute it in and solve for \( t \).