Straight Time
posted by Rajesh Lal at
12:39 AM
Tuesday, May 5, 2009
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23 Comments:
6:00 am/pm
yes
its 7:05
could also be 7:37
07:05:27.273
lol.. i like the 6am/pm answer.
6 am falls between 7am today and 8pm the night before.
It is 7:05:27.27272727272727272727272727
Couldn't be 7:37 on a 12-hour analog dial...
The Hour-hand would rest at 228.5 degrees on the dial.
(7x30 + [37x0.5] = 228.5)
The Minute-hand would rest at 222 degrees on the dial.
(37 x 6 = 222)
---------------------------------
Nothing seems to line-up on a 24-hour analog dial for either 07:00 to 08:00 OR 19:00 to 20:00. (The minute hand would then be some where between either 48-50 minutes (285-300 degrees) OR between 16-19 munutes (96-114 degrees), but the angles hour/minute hands don't seem to add-up on the "whole minutes"; just in the repeating fraction.
So, due to the AM/PM ambiguity in the question, I believe this is a word-play question.
6AM/PM answers the question sufficiently - that is, with the same amount of detail given.
Also, if this is a "crunch the numbers" question - to the repeating decimal - you can not output a single definitive answer. A 12-hour analog clock face would yeild 2-possible answers (one answer around 7:05 and another possible answer around 7:38). A more complete 24-hour analog clock face would yeild yet 4-possible answers(approximately around the times of: 07:16 or 07:49 and 19:18 or 19:49).
So, I don't believe this is a "crunch-the-numbers" to find a single answer type of question. If you "crunch-the-numbers" you invariably get multiple results.
Questions relating to singular, circular (i.e. non-linear) scales often yeild multiple results.
-----------------------------------
Interesting to note here, the year is the only linear or "additive" interval of time in the Gregorian time keeping system we use. That is - the year is the only interval that compounds and adds to each other. All other intervals of time in the Gregorian system (the bulk of time experienced and referenced in our daily lives...months, days, hours, minutes and seconds) all start over and repeat...endlessly.
In themselves months, days, hours, munutes, and seconds denote no real "location", or value. Terms like: Tuesday or 10:57PM or "The 5th of November" can repeat and recycle to infinity. These have no location until associated with a given year. No wonder when asked most people do not experience or express time as more than a collection of repeating moments.
I mention this only to highlight the notion - that how you choose to record time also affects how you will experience it...
...and vice-versa...
We as individuals tend to fall into the trap and view "The Now" as a repetitive, recycling event instead of a unique moment. So, no suprise then, the history of mankind is not too distant from this experience of the aggregate individual.
Perhaps, the fickle recycling of fasion, the boom-and-bust of the stock market, repeatitive wars, and the rise and fall of civilizations is a partially a consequence of how we record and experience time.
Or, in other words, if every: day, moment, and second is unique - we sure haven't devised an equtable way of expressing it. And how we express time affects how we experience it, and that affects our lives and world in subtile but real ways.
The expression of time might not be as trivial as you might think...Something to think about...
Wouldn't it have to fall between 7:35 and 7:40? (ignoring the whole AM/PM loophole). I say it is 7:38:36.
i know the answer wahooooo!
its 7:38:30 (30 is seconds)
if the two hands meet betwwen 7 and 8 they would hav to meet between 7:35 and 7:40 (as adam said) i dont know where the hell people got 7:05 from? And 6am or pm, well the hour hand is pointin a 6 and the minute hand is pointing at the 12, that is the complete opposite to 'where they meet'
on a normal clock. after each number there are 4 dots, it takes 12 minutes for the hour hand to move to each dot from the one before it,it also takes 12 minute to get from a dot to the number next to it and vise versa, 5 dots(conting the next number as a dot) * 12 minute for each dot = 60 minutes, where it will point to the next number.
so after explaining that, you will understand that when the hour hand is pointing at the third dot from 7(7:38) the minute hand is pointing at the first dot from 7(7:36) thats im in the right area.
so we need to work out how much the hour hand will move in 2 minutes?(12 minues per dot * 2 dots = 24) if you didnt get that - when the minute hand is on 7:38 th hour hand is on 7:38:24(24 is seconds)
now now see where the hour hand is when its 7:38:30?(30 is seconds)
30 seconds is a quater of 2 minute so the 24 seconds answer before is just divided by 4, which is 6!
so you clever ppeople would hav worked out now that its 7:38:30(30 is seconds)
if ur not that clever then read this - the minute hand is pointing at 7:38:30 and we worked out where the hour hand would be when it was at 7:38. so if the hour hand moves 24 seconds in 2 minutes then in 30 seconds it would move 6 seconds
so the conclusion.......to this large explination
hour hand minute hand
7:38 7:36
(+24 seconds) (+2 minutes)
7:38:24 7:38
(+6 seconds) (+30 seconds)
7:38:30 7:38..wait for it........ :30!!!! its a match so thats when they meet
7:38:30
done!
finished......finally!
without going into too much detail, that's the answer I had meant to post when I said 7:37 something. I did not put any mathematics around it simply because I just glanced at the clock in my room and guessed 7:37 was around the time when they would both be on top of each other and form a straight line. anyway. good explanation. makes sense matt.
whoopsy!!
near the bottom of my last post, i made an error, not a mojor one but it will confuse you if i dont tell u this-
its ment to be
7:38
(+ 24 seconds)
then
(+ 6 seconds)
=7:38:30(30 is seconds)
7:36
(+ 2 minutes)
then
(+ 30 seconds)
=7:38:30(30 is seconds)
its a match bla bla bla
sorry for the inconvenience
7:38:30 is not a correct answer. The math is below.
On a 12-hour clock face
The MINUTE hand moves 6 degrees per minute.
(60minutes/360 degrees = 6 degrees per minute)
The HOUR hand moves 0.5 degrees per minute.
(12hrs [or 720 minutes]/360 degrees = 0.5 degrees per minute)
At time 7:38:30...
The MINUTE hand will be 231 degrees on the clock face.
(38.5 x 6-degrees = 231 degrees)
The HOUR hand will be at 229.25 degrees on the clock face.
(7:38:30 [or 458.5 minutes] x 0.5 degrees = 229.25 degrees)
The two hands will have a difference of 1.75 degrees. So, they do not form a strait line by lining-up "on top" of each other. Nor, do they form a strait line by lining-up "180 degrees" from each other (as in the time 7:05 scenario).
**Top dead center (or the number 12) on the clocks face is the zero reference for the above angles in degrees**
2:38
7:05
6 am/pm because 4 xample"
it's 7 pm. on the next day at 6 am/pm,there is a straight line and it comes b4 8 pm
haha trick solved:)
You all make it way to complicated. The SIMPLE algebra speaks for itself:
HANDS ON TOP OF EACH OTHER STRAIGHT LINE
B = big hand
L = little hand
B = 7 + L / 60
L = B * 5
B = 7 + (B*5)/60
60B = 420 + 5B
55B = 420
B = 7.636363636
SO WE HAVE
7 hours and 38.18181818 minutes
HANDS 180 DEGREES APART STRAIGHT LINE
B = big hand
L = little hand
B = 7 + L / 60
L + 30 = B * 5
B = 7 + ((5B)-30)/60
60B = 420 + 5B - 30
55B = 390
B = 7.090909091
SO WE HAVE
7 hours and 5.454545455 minutes
AM OR PM DOESN'T MATTER ON STANDARD CLOCK.
How uncomplicated !!!!
;-)
7:38
my clock is digital
I think you would reach a Plank Time before those repeating decimal places resolved.
i agree that it must be a word trick because there is no specific time between 7 and 8 that is a strait line.
repeating decimals are not a time
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