Rods x and y of equal dimensions but of different materials are joined as shown in figure. Temperatures of end points A and F are maintained at 100^°…

Rods $\displaystyle x$ and $\displaystyle y$ of equal dimensions but of different materials are joined as shown in figure. Temperatures of end points $\displaystyle A$ and $\displaystyle F$ are maintained at $\displaystyle 100^{\circ} \mathrm{C}$ and $\displaystyle 40^{\circ} \mathrm{C}$ respectively. Given the thermal conductivity of $\displaystyle \operatorname{rod} x$ is three times of that of $\displaystyle \operatorname{rod} y$, the temperature at junction points $\displaystyle B$ and $\displaystyle E$ are (close to):