Thermal conductivity - rods connected at a junction

Two rods, one made of iron $(\text{Fe})$‍ and the other made of aluminum $(\text{Al})$‍ of the same area of cross section and the same length, are joined as shown.

The temperature difference between the two ends is ${\text{T}}_{\text{Fe}}-{\text{T}}_{\text{Al}}=400\mathrm{°}\text{C}$‍, and the thermal conductivity of aluminium is three times that of iron.

${\text{T}}_{\text{Fe}}-{\text{T}}_{\text{J}}=$‍ $\mathrm{°}\text{C}$‍