At what time between 4:00 and 4 : 30 will the hands of a clock be at right angle?

A

$$5\frac{5}{11}$$ min.past 5:00

B

$$6\frac{5}{11}$$ min.past 4:00

C

$$5\frac{4}{11}$$ min.past 4:00

D

$$5\frac{5}{11}$$ min.past 4:00