It's tempting to think that 'speed' (actually acceleration) causes time to flow at different rates for observers in different frames, but this isn't really the case. Time flows at the same rate for everybody: one second per second. However, if I meet you at an agreed rendezvous next week and one of us has accelerated in the meantime, we'll find our clocks no longer agree. We took different trajectories through spacetime to reach the same event, so our histories are of different lengths.
It's tempting to think that 'speed' (actually acceleration) causes time to flow at different rates for observers in different frames, but this isn't really the case. Time flows at the same rate for everybody: one second per second. However, if I meet you at an agreed rendezvous next week and one of us has accelerated in the meantime, we'll find our clocks no longer agree. We took different trajectories through spacetime to reach the same event, so our histories are of different lengths.