Answer
14 mph
Work Step by Step
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.
