Actually, range depends on antennas and many other factors. However, with increased speed, it will obviously last for longer distances. Let's take an example: suppose speed is reduced to 50% in any environment after 50 meters. If the router is broadcasting at 300 mbps, it will give 150 mbps at 50 meters, but if it is broadcasting at 1000 mbps, it will give 500 mbps at 50 meters. So increased speed could also give you a longer range.