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Power prep strokes

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Power prep strokes

by parallel_chase » Tue Oct 14, 2008 11:53 am
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 lapse between the beginning of the first stroke and the end of the last stroke?

72
50
48
46
44
[spoiler]
OA 46[/spoiler]
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by callmemo » Tue Oct 14, 2008 11:57 am
Time required for a stroke = 22/(6+5) = 2

at 12, it'll take 2*12 + 11 * 2 = 46
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by parallel_chase » Tue Oct 14, 2008 12:36 pm
callmemo wrote:Time required for a stroke = 22/(6+5) = 2

at 12, it'll take 2*12 + 11 * 2 = 46
With this I got the gist of the entire thing, pls correct me if you think i am wrong in my reasoning

Intervals = I
Strokes = S
S-I-S-I-S-I-S-I-S-I-S
I = 5
S = 6
I + S = 11

at 6:00 - 22 seconds

22/11 = 2 (S+I)

at 12 = 12 strokes + 11 intervals
12+11 = 23

23*2 = 46

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