A Carnot engine operating between temperatures $$T_1$$ and $$T_2$$ has efficiency $$\dfrac{1}{6}$$. When $$T_2$$ is lowered by $$62 \, \text{K}$$, its efficiency increases to $$\dfrac{1}{3}$$. Then $$T_1$$ and $$T_2$$ are, respectively:

A

$$372 \, \text{K}$$ and $$330 \, \text{K}$$

B

$$330 \, \text{K}$$ and $$268 \, \text{K}$$

C

$$310 \, \text{K}$$ and $$248 \, \text{K}$$

D

$$372 \, \text{K}$$ and $$310 \, \text{K}$$