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A certain clock marks every hour by striking a number of [#permalink]
21 Apr 2007, 00:36
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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 og the first stroke and the end of the last stroke is 22 seconds. At 12:00, how many second elapse between the beginning of the first stroke and the end of the last stroke?
At 6.00, the clock should chime 6 times.
total time spent from the beginning of first stroke to the end of the last stroke = 22 secs
total number of time intervals in 6 strokes = time taken for a stroke + time between two strokes = 11
So time taken in each time interval = 2 secs.
At 12.00, there will be 12 strokes. It means there will be 23 time intervals.
So time taken for all strokes = 2 *23 = 46 secs.