John and Paul both run on the same track each morning. The ratio of the number of miles John runs to the number of miles Paul runs 5:8
Let the number of miles John runs be 5x.
The number of miles Paul runs is 8x.
The total number of miles they run is 5x + 8x = 13x.
Since they run on the same track, the total number of miles they run is constant.
Therefore, the ratio of the number of miles John runs to the number of miles Paul runs is the same as the ratio of the number of miles Paul runs to the number of miles they run together.
So, the ratio of the number of miles John runs to the number of miles Paul runs is 5x:8x = 5:8. Answer: \boxed{5:8}.
To find the actual number of miles each person runs, we need more information.
To determine the number of miles John runs compared to the number of miles Paul runs, you need to use the ratio provided. In this case, the ratio is 5:8.
Step 1: Simplify the Ratio
To simplify the ratio, find the greatest common divisor (GCD) of the two numbers (5 and 8). In this case, the GCD of 5 and 8 is 1, as they do not share any common factors other than 1.
Step 2: Divide both numbers by the GCD
Divide both numbers in the ratio (5 and 8) by the GCD (1). The simplified ratio is then 5:8.
Step 3: Find the actual values
To find the actual number of miles John and Paul run, you need to have a reference value. Let's say Paul runs 8 miles.
Step 4: Calculate John's miles
Using the ratio, John's miles can be determined as follows:
John's miles = (John's ratio / Paul's ratio) * Paul's actual value
= (5/8) * 8
= 5 miles
Therefore, John runs 5 miles compared to Paul's 8 miles.