## Elementary Algebra

Since she goes 44 miles in the same time, she is riding at 44/30 x = 1.467x, where x is the rate at which Todd is riding. Since Todd's rate is 7 mph slower, we obtain: $1.467x = x + 7 \\ .467x = 7 \\ x =15$ Thus, Todd goes 15 mph, meaning that Lanette goes 15 + 7 = 22 mph.