  In this paper we introduce a Linear Program (LP) based formulation of a
Rendezvous game with markers on the infinite line and solve it. In this game
one player moves at unit speed while the second player moves at a speed bounded
by vmax smaller than 1. We observe that in this setting a slow moving player
may have interest to rest still instead of moving. This shows that in some
conditions the wait-for-mummy strategy is optimal. We observe as well that the
strategies are completely different if the player that holds the marker is the
fast or slow one. Interestingly, the marker is not useful when the player
without marker moves slowly, i.e. the fast moving player holds the marker.
