On these topics it is possible to be objetive if the real information is in front of ours eyes, so I repeat:
Tu-160:
Soviet Designation
TU-160
US-Designation
Blackjack
Design Bureau
OKB-156 Tupolev
Manufacturer
Plant Nr. 22 Kazan
Power Plant
4 HK-32 turbojet engines
Thrust
25.000 kg each
Length
54.1
Height
13.1
Wingspan
35.6m (minimum), 55.7m (maximum)
Wing surface
232 sqm
Speed
2200 km/h (maximum), 1030 km/h (ground)
Ceiling
16.000m
Weight (empty)
110.000kg
Fuel weight
148.000 kg
Maximum take-off weight
275.000 kg
Normal weapons load
9.000 kg
Maximum weapons load
40.000 kg
Range
+14.000 km (with a load of 9.000kg)
+10.500 km (with a load of 40.000 kg)
Armament
12 H-55 or 24 H-15 missiles
free falling bombs
?
Systems
?
Crew
4
Accomodation
?
Unit cost
?
Approved
?
Development began
1975
First Flight
12/19/1981
Series production started
1984
Date deployed
1987
Inventory
?
B-1b Lancer:
Primary Function: Long-range, multi-role, heavy bomber.
Builder: Rockwell International, North American Aircraft.
Operations Air Frame and Integration: Offensive avionics, Boeing Military Airplane; defensive avionics, AIL Division.
Power Plant: Four General Electric F-101-GE-102 turbofan engine with afterburner.
Thrust: 30,000-plus pounds (13,500-plus kilograms) with afterburner, per engine.
Length: 147 feet (44.8 meters).
Wingspan: 137 feet (41.8 meters) extended forward, 78 feet (23.8 meters) swept aft.
Height: 34 feet (10.4 meters).
Weight: Empty, approximately 185,000 pounds (83,250 kilograms).
Maximum Takeoff Weight: 477,000 pounds (214,650 kilograms).
Speed: 716 knots (Mach 1,25), 607-plus knots at sea level (Mach 0,92)
Range: Intercontinental, unrefueled.
Endurance: With refueling, crew endurance.
Ceiling: 30,000 feet (9,000 meters).
Crew: Four (aircraft commander, pilot, offensive systems officer, and defensive systems officer).
Armament: Up to 84 Mark 82 conventional 500-pound bombs internally with external hard points for an additional 12 weapons. Also can be reconfigured to carry a wide range of nuclear weapons (maximun 29,030 kilograms).
Date Deployed: June 1985.Unit Cost: $200-plus million per aircraft.
Inventory: Active force, 94; ANG, 0; Reserve , 0.
The B1b range with normal load is of 12000 km, so you are totally wrong, Alcibiaties of Athenae.