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 interval 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?
Please provide your explanation in detail. Thanks
the time for a stroke is x, as per question time interval between between strokes is also x
at 6, number of strokes = 6, number of intervals = 5 .. 11x = 22 --> x =2 seconds
at 12, number of strokes = 12, number of intervals = 11
total time = 23*x = 46 ... option D