2. Vasya and Petya simultaneously ran out from the starting point of a circular running track and ran in opposite directions at constant speeds. At some point, they met. Vasya ran a full circle and, continuing to run in the same direction, reached the place of their first meeting at the moment when Petya ran a full circle. Find the ratio of Vasya's and Petya's speeds.
2. $\frac{1+\sqrt{5}}{2}$