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Answer :
To find out how long it would take Fred to run 8.5 miles at his current speed, we need to follow these steps:
1. Understand Fred's Current Speed:
Fred ran 6.25 miles in [tex]\(1 \frac{1}{4}\)[/tex] hours. To work with this, let's convert [tex]\(1 \frac{1}{4}\)[/tex] hours to a decimal, which is 1.25 hours.
2. Calculate Fred's Speed:
To find Fred's speed, divide the distance he ran by the time he took.
[tex]\[
\text{Speed} = \frac{6.25 \text{ miles}}{1.25 \text{ hours}} = 5 \text{ miles per hour}
\][/tex]
3. Determine the Time for 8.5 Miles:
Now, we need to know how long it would take Fred to run 8.5 miles at this speed. Use the formula:
[tex]\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\][/tex]
Plug in the values:
[tex]\[
\text{Time} = \frac{8.5 \text{ miles}}{5 \text{ miles per hour}} = 1.7 \text{ hours}
\][/tex]
Thus, it would take Fred 1.7 hours to run 8.5 miles.
1. Understand Fred's Current Speed:
Fred ran 6.25 miles in [tex]\(1 \frac{1}{4}\)[/tex] hours. To work with this, let's convert [tex]\(1 \frac{1}{4}\)[/tex] hours to a decimal, which is 1.25 hours.
2. Calculate Fred's Speed:
To find Fred's speed, divide the distance he ran by the time he took.
[tex]\[
\text{Speed} = \frac{6.25 \text{ miles}}{1.25 \text{ hours}} = 5 \text{ miles per hour}
\][/tex]
3. Determine the Time for 8.5 Miles:
Now, we need to know how long it would take Fred to run 8.5 miles at this speed. Use the formula:
[tex]\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\][/tex]
Plug in the values:
[tex]\[
\text{Time} = \frac{8.5 \text{ miles}}{5 \text{ miles per hour}} = 1.7 \text{ hours}
\][/tex]
Thus, it would take Fred 1.7 hours to run 8.5 miles.
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