how many times a day do the minute and hour hands of a clock form a straight line but in opposite direction

For this I am not writing any formula , simply  with the help of table we will try to understand the concept.

	the minute and hour hands of a clock form a straight line but in opposite direction
1	Between 12.30 to 12.35
2	Between 1.35 to 1.40
3	Between 2.40 to 2.45
4	Between 3.45 to 3.50
5	Between 4.50 to 4.55
6	Between 5.55 to 6.00  : means at 6.00 clock they are straight but opposite @
	Between 6.00 to 6.05 hands are not straight in opposite direction
7	Between 7.05 to 7.10
8	Between  8.10 to 8.15
9	Between  9.15 to 9.20
10	Between  10.20 to 10.25
11	Between  11.25  to 11.30                  #  goto step 1

@ in 6 th column if we see in 5 to 6 hours and 6.00 to 7.00 hours they will straight but opposite only one time.

By seeing the above table the minute hand and hour hand s of a clock form straight line but in opposite direction in 11 times.

Means in 12 hours or in half day they are straight but in opposite direction 11 times.

since in a day of 24 hours ,hands of a clock are straight but in opposite direction  22 times.