Question

The temperature is dropping throughout the day as a cold front comes in in city and the temperature is changing by -5 Fahrenheit hydrate per hour and in the temperature is changing by -3 Fahrenheit hydrate per hour if the temperature in both cities started at 70 Fahrenheit hydrant Which is warmer and what is the difference in their temperature after five hours?

Answer 1

Let's break down the temperatures for each city after 5 hours.

**City A:**
- Starting temperature: 70°F
- Temperature change: -5°F per hour
- Total change after 5 hours: \( -5 \, \text{°F/hour} \times 5 \, \text{hours} = -25 \, \text{°F} \)
- Temperature after 5 hours:
\[
70 \, \text{°F} - 25 \, \text{°F} = 45 \, \text{°F}
\]

**City B:**
- Starting temperature: 70°F
- Temperature change: -3°F per hour
- Total change after 5 hours: \( -3 \, \text{°F/hour} \times 5 \, \text{hours} = -15 \, \text{°F} \)
- Temperature after 5 hours:
\[
70 \, \text{°F} - 15 \, \text{°F} = 55 \, \text{°F}
\]

Now, we can compare the final temperatures:
- City A: 45°F
- City B: 55°F

**Conclusion:**
City B is warmer than City A. To find the difference in their temperatures:
\[
55 \, \text{°F} - 45 \, \text{°F} = 10 \, \text{°F}
\]

So, after five hours, City B is 10°F warmer than City A.