Solving a distance, rate, time problem using a system of linear equations

Question

Two cyclists leave towns 96

 kilometers apart at the same time and travel toward each other. One cyclist travels 10

 kmh

 faster than the other. If they meet in 3

 hours, what is the rate of each cyclist?

Answer 1

Distance = (Rate)(Time)

3x + 3(x+10) = 96

2x + 10 = 32

x = 11 mph and x+10 = 21 mph