To determine how many miles John runs per hour, we can start with the equation given, which relates the time (in hours) he runs to the distance (in miles):
\[ 4y = 26.2x \]
In this equation:
- \( y \) represents the distance in miles.
- \( x \) represents the time in hours.
Since John runs for 4 hours, we will set \( x = 4 \).
Now, substituting \( x \) into the equation:
\[ 4y = 26.2(4) \]
Calculating the right side:
\[ 4y = 104.8 \]
Now, to find \( y \), we can divide both sides of the equation by 4:
\[ y = \frac{104.8}{4} \]
Calculating this gives:
\[ y = 26.2 \]
This result represents the total distance he runs in 4 hours.
To find the speed in miles per hour, we can also calculate by dividing the total distance by the total time:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{26.2 \text{ miles}}{4 \text{ hours}} \]
Calculating:
\[ \text{Speed} = 6.55 \text{ mph} \]
So, the answer is:
6.55 mph.
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