## Elementary Algebra

Since Wendy goes 42 miles in the same time, she is going 42/36 x = 1.167x, where x is Betty's rate. Since Wendy is going 2 mph faster, we obtain: $1.167x = x + 2 \\ .167x = 2 \\ x = 12$ Since Betty is going 12 mph, Wendy must be going: 12 + 2 = 14 mph.