Lonely Runner

Consider $3$ runners on a circular track of unit length. At $t = 0$ , all runners are at the same position and start to run and the runners' speeds are pairwise distinct. A runner is said to be lonely at time $t$ if they are at a distance of at least $\frac 13$ along the track from every other runner at time $t$ .

Will every runner be lonely at some time?

Bonus: What about $4$ runners and lonely means they are at a distance of at least $\frac 14$ from every other runner?