Final answer:
CAT6 cables can reach transmission speeds up to 10 Gbps over 55 meters, and typically support 1 Gbps up to 100 meters.
Step-by-step explanation:
The maximum achievable transmission speed over a CAT6 cable is 10 Gbps (Gigabits per second) under ideal conditions up to a length of 55 meters. In more typical network situations, CAT6 supports speeds of 1 Gbps for up to 100 meters. When considering upgrading from a wireless router that transmits data at 75 Mbps, the improvement with CAT6 cabling can be significant, especially for networks with high data transfer needs or environments where wireless signal interference is an issue.