Timeline for All clock hands at equal degrees from each other
Current License: CC BY-SA 3.0
15 events
| when toggle format | what | by | license | comment | |
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| Sep 12, 2015 at 17:11 | history | edited | Rohcana | CC BY-SA 3.0 |
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| Aug 21, 2015 at 13:36 | comment | added | mathmandan | Oh...you were counting revolutions: $12x$ is either 4 or 8 revolutions (plus some integer multiple of 12 revolutions)... | |
| Aug 21, 2015 at 13:31 | history | edited | Rand al'Thor | CC BY-SA 3.0 |
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| Aug 21, 2015 at 13:31 | comment | added | Rand al'Thor | @mathmandan Hmm, this is embarrassing! I thought 120 and 240 are 1/3 and 2/3 (mod 360), giving 4 or 8 when you multiply by 12, but of course it doesn't work like that since 3 and 360 aren't coprime. You're quite right, and I'll edit. | |
| Aug 21, 2015 at 13:28 | comment | added | mathmandan | Tiny quibble: I'm not sure where you get "$12x$ is 4 or 8 (mod 360)". Surely if $x$ is 120 or 240, then $12x$ is divisible by 360? (This does yield a contradiction as desired.) | |
| Aug 20, 2015 at 21:02 | vote | accept | Jacob Holloway | ||
| Aug 20, 2015 at 16:47 | comment | added | Gordon K | Looks good to me. | |
| Aug 20, 2015 at 16:36 | comment | added | Rand al'Thor | @GordonK No offence, I hope :-) Somebody did downvote, probably the same person who upvoted your comment. I wanted to credit you for catching my mistake, but wasn't quite sure how to do it - it's much easier with riddles! Does it look watertight now? | |
| Aug 20, 2015 at 16:35 | comment | added | Gordon K | I would never be so presumptuous as to down-vote a well-thought out answer with a minor error before someone has had the chance to correct it! | |
| Aug 20, 2015 at 16:32 | comment | added | Rand al'Thor | @GordonK Oops, you're quite right! Sorry for the mistake; I've now edited and discovered that the final answer was (coincidentally) correct. I hope you or whoever will consider reversing the downvote :-) | |
| Aug 20, 2015 at 16:31 | history | edited | Rand al'Thor | CC BY-SA 3.0 |
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| Aug 20, 2015 at 16:22 | comment | added | Gordon K | When the hour hand has moved $x$ degrees, the minute hand will have moved $12x$ degrees (in one hour they move 30 degrees and 360 degrees). | |
| Aug 20, 2015 at 16:05 | comment | added | Spacemonkey | then again, to the naked eye, you could be fooled around 7:17:55 . Didnt bother with the exact timing because I think the proof is above - all that avoiding explicitly stating any spoiler ;) | |
| Aug 20, 2015 at 15:57 | comment | added | Kingrames | So then it only happens when it's time to repair the clock! Woohoo I was right and I was just trying to be funny! lol | |
| Aug 20, 2015 at 15:54 | history | answered | Rand al'Thor | CC BY-SA 3.0 |