You got to love a Heavy bomber that can out-run a concorde.
Top Speed on the B-1B is ~ mach 1.2 at sea level. Cruise speed of the Concorde was much higher, mach 2.00 at 55,000 feet. The Concorde would not accept a climb clearance above 29,000 feet until it was cleared to accelerate and climb to its cruise altitude of 55,000 to 59,000 feet. I believe this was for fuel consumption reasons.