The time between 5:30 AM and 6:10 AM, the two hands of the clock will be at right angles is

A

$$5.57\frac{3}{11}$$ A.M

B

$$5.53\frac{7}{11}$$ A.M

C

$$5.47\frac{3}{11}$$ A.M

D

$$5.43\frac{7}{11}$$ A.M