Two Metal Rods, One Silver and the Other Copper, Are $100 ^ { \circ } \mathrm { C } \text {. }$

Two metal rods, one silver and the other copper, are both immersed at one end in a steam chamber at a temperature of $100 ^ { \circ } \mathrm { C } \text {. }$ The other end of each one is in an ice water bath at $0 ^ { \circ } \mathrm { C }$ The rods are 5.0 cm long and have a square cross-section that is 2.0 cm on a side. No heat is exchanged between the rods and the surroundings, except at the ends. How much total heat flows through the two rods each minute? The thermal conductivity of silver is $417 \mathrm {~W} / \mathrm { m } \cdot \mathrm { K }$ and that of copper is 395 $\mathrm { W } / \mathrm { m } \cdot \mathrm { K } .$

A) 47 kJ
B) 49 kJ
C) 39 kJ
D) 20 kJ
E) 11 kJ