Question
Jose and Carol are traveling at constant rates in their cars. If Jose travels $\frac{1}{2}$ mile farther than Carol does in 10 minutes, then how much farther than Carol will Jose travel in one hour?
2 miles
3 miles
4 miles
5 miles

Step 1 ：Given that Jose travels \(\frac{1}{2}\) mile farther than Carol in 10 minutes.

Step 2 ：Since there are 60 minutes in an hour, we can find out how much farther Jose will travel in one hour by multiplying the distance Jose travels farther than Carol in 10 minutes by 6.

Step 3 ：Let's denote the distance Jose travels farther than Carol in 10 minutes as \(distance_{10min}\) and the distance Jose travels farther than Carol in one hour as \(distance_{1hour}\).

Step 4 ：So, \(distance_{10min} = 0.5\) miles.

Step 5 ：And, \(distance_{1hour} = 6 \times distance_{10min} = 6 \times 0.5 = 3.0\) miles.

Step 6 ：Final Answer: Jose will travel \(\boxed{3}\) miles farther than Carol in one hour.