We should be able to set up a system of linear equations with two variables and two equations. Because the question is asking for the two speeds, those seem like the likeliest candidates for the two unknowns. We will also employ the formula speed · time = distance. Here's how we do that:
A: Anita's speed (in mph) R: Rosalyn's speed (in mph)
R = A + 5
8(A + R) = 248 (since they travel in opposite directions, the sum of their speeds is how fast the distance between them increases).
We have a few choices for how to solve, including graphing, elimination, and substitution, but since R is isolated in the first equation, substitution seems a good choice. Can you take it from there?
