Final answer:
Terry runs at a speed of 5 mph. Since Mark runs 2 mph faster than Terry, Mark runs at a speed of 7 mph.
Step-by-step explanation:
Let's denote Terry's speed as x mph. Since Terry can run 15 miles in the same amount of time it takes Mark to run 21 miles, we can set up the equation:
15/x = 21/(x+2)
Cross multiplying, we get:
15(x+2) = 21x
Expanding the equation, we have:
15x + 30 = 21x
Subtracting 15x from both sides, we get:
30 = 6x
Dividing both sides by 6, we find:
x = 5
Therefore, Terry runs at a speed of 5 mph. Since Mark runs 2 mph faster than Terry, Mark runs at a speed of 5 + 2 = 7 mph.