Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
A pair of kids and a pair of adults decided to compete in a three-legged race. The kids got to
start 10 yards ahead of the adults, since they had shorter legs. When they were told to start,
the kids hobbled forward at a rate of 2 yards per second, and the adults hobbled after them
at a rate of 3 yards per second. Soon they were side-by-side. How long did that take? How
far did the adults go?