To find out how fast Kadell runs, we can set up a proportion based on the information given:
Let's denote the speed at which Kadell runs as K (in miles per hour). Since Dorian bikes 8 miles per hour faster than Kadell, Dorian's speed would be K + 8.
We know that Dorian bikes 7 miles in the same amount of time it takes Kadell to run 3 miles. This gives us the following proportion:
7 / (K + 8) = 3 / K
To solve this proportion, we can cross multiply:
7K = 3(K + 8)
Now, we can distribute and solve for K:
7K = 3K + 24
4K = 24
K = 6
Therefore, Kadell runs at a speed of 6 miles per hour.