At certain minutes past 5, ‘6’ on the clock is at the middle of the minute-hand and the hour-hand. How
many minutes later ‘6’ on the clock is at the middle of the minute-hand and the hour-hand again?c
If I undestand your question, which is rather "vague", '6' will be exactly in the middle of the hour hand and the minute hand at exactly 32 minutes and 0.72 seconds after 5 O'clock. and the hour hand will be at 2.72 minutes past 5 O'clock, or the hour hand will on 27.72 minutes past the hour.
For '6' to be in the middle again, except the hour hand and the minute hand will have exchanged places, where the hour hand will be at 32 minutes and 0.72 seconds past 6 O'clock and the minute hand will be at 27.72 minutes past the hour, at which time exactly 55 minutes will have passed.
And that is it, if I understood your question!!.