.
jen lives 105 miles from school, beth lives 98 miles from school. both leave at the same time and get home at the same time. jen drives 8 mph faster than beth. how fast did each drive?
I am asking how to set the problem up.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Let u be the Beth's speed, in miles-per-hour.
Then Jen's speed is (u+8) mph.
Your equation is
= .
The left side is the time spent by Jen. The right side is the time spent by Beth, and they are the same, according to the condition.
It is how to set up the problem.
To solve it, multiply both sides by the product u*(u+8).
Etc . . .
Since you asked about the setup only, I am stopping at this point.