Two Metal Rods, One Silver and the Other Gold, Are

Two metal rods, one silver and the other gold, are attached to each other. The free end of the silver rod is connected to a steam chamber, with a temperature of 100°C, and the free end of the gold rod to an ice water bath, with a temperature of 0°C. The rods are 5.0 cm long and have a square cross-section, 2.0 cm on a side. What is the temperature at the point where the two rods are in contact with one another? The thermal conductivity of silver is 417 W/(m·K) and that of gold is 291 W/(m·K) No heat is exchanged between the rods and the surroundings, except at the ends.

A) 39°C
B) 41°C
C) 47°C
D) 53°C
E) 59°C