Fred is training for a cross-country race. At practice last week, he ran 6.25 miles in 1
1
4
hours. At that speed, how long would it take Fred to run 8.5 miles?

To find out how long it would take Fred to run 8.5 miles at the same speed, we can use the following steps:

### Step 1: Calculate Fred's speed in miles per hour.
Fred ran 6.25 miles in \(1 \frac{1}{4}\) hours, which is equivalent to 1.25 hours. Therefore, his speed \(S\) in miles per hour is:

\[
S = \frac{6.25 \text{ miles}}{1.25 \text{ hours}} = 5 \text{ miles per hour}
\]

### Step 2: Use the speed to determine the time for 8.5 miles.
Now that we know Fred's speed is 5 miles per hour, we can find the time \(T\) it would take him to run 8.5 miles by using the formula:

\[
T = \frac{\text{Distance}}{\text{Speed}} = \frac{8.5 \text{ miles}}{5 \text{ miles per hour}} = 1.7 \text{ hours}
\]

### Conclusion:
It would take Fred 1.7 hours to run 8.5 miles at his current speed.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. How long would it take Fred to run 10 miles at the same speed?
2. If Fred improved his speed to 6 miles per hour, how long would it take him to run 8.5 miles?
3. How many miles could Fred run in 2 hours at his current speed?
4. What is Fred's speed in minutes per mile?
5. How far would Fred run in 30 minutes at his current speed?

**Tip:** When dealing with time and distance problems, always convert mixed numbers into improper fractions or decimals for easier calculation.

Learn how to calculate the time it takes to run 8.5 miles at a given speed. Fred's practice run of 6.25 miles in 1.25 hours provides the basis for this calculation, involving simple mathematical concepts of speed, distance, and time. Explore detailed steps and related questions.

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