I still don't understand this problem - please help!
A certain clock marks every hour by striking a number of times equal to the hour, and the time required for a stroke is exactly equal to the time interview between strokes. At 6:00 the time lapse between the beginning of the first stroke and the end of the last stroke is 22 seconds. At 12:00, how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
Answer is D) 46. The explanation in the book reads, "At 6:00 there are 6 strokes and 5 intervals between strokes. <ok...I get this part> Thus, there are 11 equal time intervals in the 22 seconds between the beginning of the first stroke and the end of the last stroke. <huh? how did they get 11???> Therefore, each time interval is 22/11 = 2 seconds long. At 12:00 there are 12 strokes and 11 intervals between strokes. Thus, there are 23 equal 2-second intervals, or 23 x 2 = 46 seconds between the first and last stroke.
I am totally lost. Can someone please explain the logic behind this problem (in layman terms please)...?