Two rods of the same cross-sectional area are laid down in a line and joined where they meet. Rod B has twice the length of rod A, and the thermal conductivity of the material that rod B is made from is three times larger than the thermal conductivity of the material that rod A is made from. The far end of rod A is maintained at a constant temperature of 90 degrees Celsius, and the far end of rod B is maintained at a constant temperature of 20 degrees Celsius. By far ends, we mean the ends away from where the rods are joined.
Assuming an equilibrium situation is reached, what is the temperature at the place where the rods meet?
A. 30 degrees Celsius
B. 48 degrees Celsius
C. 55 degrees Celsius
D. 62 degrees Celsius
E. 80 degrees Celsius
I tried doing the following, but 62 degrees Celsius is not the correct answer.
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