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 3 grandfather clock problems (Posted on 2006-03-27)
I Draw the face of a clock numbered with roman numerals in the usual way. Explain how to draw 4 rays radiating from the center such that the sum of the numerals in each sector is 20.

II At what time are the two hands of a clock situated so that, reckoning in minutes from XII, one is exactly the square of the distance of the other?

III At what time between three and four o’clock is the minute hand the same distance from VIII as the hour hand is from XII?

 No Solution Yet Submitted by Jer Rating: 3.0000 (3 votes)

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 Part II solution | Comment 5 of 9 |

I had to fire up Excel for this one...

12:00:5
01:02:16.69
02:03:12.25
03:03:54.89
04:04:30.84
05:05:2.51
06:05:31.14
07:05:57.47
08:06:21.98
09:06:45
10:07:6.77
11:07:27.48

If this happens to be a quartz movement grandfather clock where the second hand "ticks" along, then I would say that 12:00:5 or 09:06:45 was the correct answer.

Edited on March 27, 2006, 3:33 pm
 Posted by Bob Smith on 2006-03-27 15:25:06

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