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 $$100 ^{o}C$$ and $$40 ^{o}C$$ respectively. Given the thermal conductivity of rod $$x$$ is three times of that of rod $$y$$, the temperature at junction points $$B$$ and $$E are (close to):

A

$$60 ^{o}C$$ and $$45 ^{o}C$$ respectively

B

$$80 ^{o}C$$ and $$60 ^{o}C$$ respectively

C

$$89 ^{o}C$$ and $$73 ^{o}C$$ respectively

D

$$80 ^{o}C$$ and $$70 ^{o}C$$ respectively