Sure, let's solve this problem step-by-step.
1. Identify the given values and what the problem is asking for:
- The cyclist rides at an average speed of 18 miles per hour.
- The time spent riding is 7 hours.
- We need to find out the total distance covered in those 7 hours.
2. Recall the basic formula for distance:
[tex]\[
\text{Distance} = \text{Speed} \times \text{Time}
\][/tex]
3. Substitute the given values into the formula:
- Speed = 18 miles per hour
- Time = 7 hours
So, we have:
[tex]\[
\text{Distance} = 18 \text{ miles/hour} \times 7 \text{ hours}
\][/tex]
4. Perform the multiplication:
[tex]\[
\text{Distance} = 18 \times 7
\][/tex]
5. Result:
[tex]\[
\text{Distance} = 126 \text{ miles}
\][/tex]
So, the cyclist rides 126 miles in seven hours. The correct answer is 126.
