Two Bars,A and B,each of Length 2

Multiple Choice

Two bars,A and B,each of length 2.0 m and cross sectional area 1.0 m²,are placed end to end as shown in the figure.
The thermal conductivities of the bars are
k_A = 439 J/(s × m × K) and k_B = 887 J/(s × m × K) ,respectively.The left end of bar A is maintained at 373 K while the right end of B is maintained at 273 K.
-What is the temperature at the interface between A and B?

A) 296 K
B) 306 K
C) 313 K
D) 323 K
E) 332 K