At what time between 6 and 7 are the hands of the clock coincide?

Ans. Total = 360°
For hour hand speed = 360/12 = 30°/hr
For minute hand speed = 360°/hr
Let the time elapsed be 't' hours.
At 6:00, hour hand is at 180°.
Position of Hour Hand = 180 + 30t
Position of Minute Hand = 360t
For coincidence: 180 + 30t = 360t
330t = 180
t = 180/330 = 6/11 hr
Convert to minutes: (6/11) * 60 = 360/11
Calculation: 360 ÷ 11 = 32 remainder 8, so 32 8/11 minutes.
Ans. is approximately 6:32.