Description for Correct answer:
In order to coincide the minute hand has to gain 30 minutes space. Now 55 minutes are gained by minute hand in 60 minutes.

30 minutes will be gained in = \( \Large \frac{60}{55} \times 30=\frac{36}{11} \) = \( \Large 32\frac{8}{11} \) minutes.

So the hands will coincide \( \Large 32\frac{8}{11} \) minutes past 6.