SOLUTION: Hello:) so i have a math problem that i dont quite understand! I dont have my math book so i can't look up how to do the problem. The question is: Marcus and Beth leave college t

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Marcus and Beth leave college traveling in opposite directions on a straight road.
Beth drives 13 miles faster than Marcus.
After 4 hours they are 452 miles apart.
Find their rates.
Let b = B's driving rate
Let m = M's driving rate
:
Write a distance equation: dist = time * rate
:
M's dist + B's dist = 452
4m + 4b = 452
:
It says,"Beth drives 13 miles faster than Marcus."; the equation for this is:
b = (m+13)
:
Replace b with (m+13) in the 1st equation
4m + 4(m+13) = 452
4m + 4m + 52 = 452
8m = 452 - 52
8m = 400
m =
m = 50 mph,
then
b = 50 + 13
b = 63 mph
:
:
See if that's true
4(50) + 4(63) = 452