AMC 8 2026 (Problem 19)

Miguel is walking with his dog, Luna. When they reach the entrance to a park, Miguel throws a ball straight ahead and continues to walk at a steady pace. Luna sprints toward the ball, which stops by a tree. As soon as the dog reaches the ball, she brings it back to Miguel. Luna runs 5 times faster than Miguel walks. What fraction of the distance between the entrance and the tree does Miguel cover by the time Luna brings him the ball?

Miguel's path and Luna's path between the park entrance and the tree

\text{(A)}\;\frac{1}{6}

\text{(B)}\;\frac{1}{5}

\text{(C)}\;\frac{1}{4}

\text{(D)}\;\frac{1}{3}

\text{(E)}\;\frac{2}{5}