At what time between 2 pm and 3 pm will the two hands of a clock be at 150° angle to each other ?

A

$$36\frac{1}{11}$$ minutes past 2 pm

B

$$38\frac{2}{15}$$ minutes past 2 pm

C

$$37\frac{1}{15}$$ minutes past 2 pm

D

$$38\frac{2}{11}$$ minutes past 2 pm