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A certain clock marks every hour by striking a number of

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A certain clock marks every hour by striking a number of [#permalink] New post 20 Feb 2006, 14:11
:? 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?

A) 72

B) 50

c) 48

D) 46

E) 44
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 [#permalink] New post 21 Feb 2006, 08:40
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ok the basic idea is suppose the clock strikes 3 |---|---|
| - the strike and --- - gap the time for both is equal , say - 5 secs
so the timelapse required for the clock to stike 3 5+5+5+5+5 = 25 sec

now, it is given for the clock to stike 6 - the lapse was 22 secs , which means 6 strikes + 5 gaps = 11 ==> 22 sec / 11 = 2 sec for each.

so for the clock to strike 12 - it required 12 stikes and 11 gapz = 46 sec.

so the answer is D
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 [#permalink] New post 21 Feb 2006, 15:19
:-D Thanks for the help.
  [#permalink] 21 Feb 2006, 15:19
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