According to Boeing's web site, they claim the following:
One 777 advantage that pleases passengers and airline accountants alike is its speed. Traveling at a cruise speed of 0.84 Mach, like the current 777s, the longer-range derivatives will cut approximately 30 minutes off the flying time on 16- to 18-hour flights as compared to the A340, which travels at a speed of about 0.82 Mach.
In addition to cutting flying time, the increased speed of the 777 often gives it preference in obtaining earlier approval for climb to higher altitudes, resulting in a noticeable economic advantage for airlines.
Going head-to-head with the Airbus A340-500/-600s, the Boeing 777 longer-range derivatives demonstrate seat-mile costs that are 14 to 18 percent better. Fuel burn is considerably lower for the twin-engine 777-200 and -300 longer-range derivatives, 21 to 22 percent lower than the A340-500/-600s.
Of course Airbus will advertise their Max speed rather than cruise speed. I don't know what a 777 has been clocked at, but 747s have been known to cruise well above 0.90 Mach, although they usually dial it back to 0.84 or so for fuel economy and airway spacing reasons.
The only thing you should feel when shooting a terrorist: Recoil.