Two long metal rods of same diameter are placed on a surface with the end temperature being 300°C. The rods extend to the room where the temperature is 30°C. The temperature at 25 cm from the hot end...

Two long metal rods of same diameter are placed on a surface with the end temperature being 300°C. The rods extend to the room where the temperature is 30°C. The temperature at 25 cm from the hot end in one rod is found to be 200°C while in other rod, this temperature is attained at 400 cm from the hot end. Find the ratio of conductivities of these rods.