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Of those who took part yesterday with comments only two were correct. They were [livejournal.com profile] sidhe_uaine42 and [livejournal.com profile] curiouswombat.

Here is the solution.

A clock chimes eight times at 8 am and takes 35 seconds to complete the eight chimes.
Hence there is seven gaps between each chime. So, 35 sec / 7 chimes = 5 seconds.
So knowing that there is a five second gap between each chime helps to solve the second part.
At twelve o'clock or midday there will be 12 chimes with 11 gaps and thus -
11 times 5 secs = 55 seconds.

Thanks to everybody who took part.

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