When are the hands in line?

Question

The hands of a clock form a straight line at 6 o'clock. At 5 past 7 they are not exactly in line again, because the hour hand has moved to somewhere in between 7 and 8; but they are exactly in a straight line again a little after this time.

(a) At what times during the day are the hands exactly in line?

(b) What is the time interval between alignments?

Answer 1

analog klok hav 2 hands that go round at differ speed

minut hand take 1 our=60 minuts tu go 1 rev

our hand take 12 ours tu go round & in same time minut hand go round 11 times

time it take minut hand tu katch 1 time=12/11=1.09090909...ours

or 3927.27272727272...sek

or 1 our, 5 minuts +27.2727272727 sek

Comments

So using the constant interval 1hr 5min 27.2727...secs, the times are:
6:00:00, 7:05:27 3/11, 8:10:54 6/11, 9:16:21 9/11, 10:21:49 1/11, 11:27:16 4/11, 12:32:43 7/11, 1:38:10 10/11, 2:43:38 2/11, 3:49:05 5/11, 4:54:32 8/11.