https://file.aiquickdraw.com/mathbot/file/1726780100582kqabxomu.jpg

To solve this problem, we can use the formula for distance:

\[
\text{Distance} = \text{Speed} \times \text{Time}
\]

### Given:
- Speed = 12 miles per hour (mi/h)
- Time = \( 1 \frac{1}{4} \) hours = \( 1 + \frac{1}{4} = 1.25 \) hours

Now, multiplying the speed by the time:

\[
\text{Distance} = 12 \times 1.25 = 15 \, \text{miles}
\]

### Final Answer:
The cyclist traveled **15 miles**.

Would you like further explanation, or have any additional questions?

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Here are five related questions:
1. How would the distance change if the speed was doubled but the time remained the same?
2. What would the cyclist's speed need to be to cover 20 miles in the same time?
3. How long would it take the cyclist to travel 30 miles at the same speed?
4. What is the cyclist’s average speed if they traveled 15 miles in 2 hours?
5. How many miles would the cyclist travel in 3 hours at a speed of 12 mi/h?

**Tip:** When dealing with fractions in word problems, it's often easier to convert them to decimals before multiplying!

A cyclist traveled on a straight road for 1 1/4 hours at a speed of 12 mi/h. How many miles did the cyclist travel?

Learn how to calculate the distance traveled by a cyclist who moves at 12 mi/h for 1 1/4 hours. This problem covers time, speed, and distance relationships and includes step-by-step instructions on how to convert mixed fractions into decimals. Suitable for Grade 6-8 math students.

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