Dorian and Kadell are friends who like to exercise. Dorian bikes 8 miles per hour
faster than Kadell runs. Dorian bikes 7 miles in the same amount of time it takes
Kadell to run 3 miles. How fast does Kadell run?



Answer :

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.