Tuesday, February 26, 2008

Analog Clock

You have an analog clock with an hour, minute and second hand. What time is it when all 3 hands are "exactly" evenly spaced (120 degrees apart).

-Euclid's Brother

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15 Comments:

Anonymous Anonymous said...

where is at least one of the hands?

February 26, 2008 7:25 PM  
Blogger ejrm said...

12:20 and 45 seconds

February 26, 2008 8:13 PM  
Anonymous Anonymous said...

12:20 and 40 seconds

February 26, 2008 8:44 PM  
Anonymous Anonymous said...

8:00 and 20 seconds if it were 12:20 the hour hand wouldnt be exactly on the 12 and therefore the hands wouldn't be exactly 120 degrees apart from eachother.

February 26, 2008 8:45 PM  
Blogger pincushion vaibhav said...

2hr 55min and 35 sec

the gap would be 120degrees in a circle

February 26, 2008 11:29 PM  
Anonymous me said...

exactly at 4:00:40.

February 27, 2008 6:14 AM  
Anonymous Anonymous said...

Everyone who said that it was on an hour mark for the hour and/or minute and/or second hand is most likely wrong. Like the answer given by the user named "me" it can't be on an hour mark for two hands.

February 27, 2008 6:35 AM  
Anonymous Michael!!! said...

there is no definite answer. There is an infinite number of possibilities because it did not states if the hands are forced to be on a number on the clock.
all that matters is that they are 120 degrees apart. Therefore, since you can always go smaller when it comes to numbers such as I second can be 0.5 seconds which can be 0.25 seconds and so on.

February 27, 2008 10:37 AM  
Anonymous Michael!!! said...

there is no answer; or the answer is infinity

February 27, 2008 10:38 AM  
Blogger Eric said...

umm there are many many variations but it does end somewhere....

February 27, 2008 6:33 PM  
Anonymous Anonymous said...

It must be 4:40:00 Michael

February 27, 2008 7:24 PM  
Anonymous Anonymous said...

Yeah i have to agree...
The second(hand) must be on 00 seconds...

February 28, 2008 6:46 AM  
Anonymous Anonymous said...

there are hunders of possibilitys u need to give one of the clock hands away so the other 2 hands would be placeed exactly to have just 1 answer

February 28, 2008 8:05 PM  
Anonymous Euclid's Brother said...

There is no exact time when that occurs..

The answer above 2:55:35 is probably as close as you can get using whole seconds.. but at the time, the hour hand is on 2.92638888888889, the minute hand is on 55.5833333333334, and the second had on 35. So the angle between minute and second had is at least 120.5 degrees.

I've written a program that steps the clock in increments of .00001 seconds and even rounded to the nearest 1000th. And still there is not exact time that works..

March 2, 2008 10:08 AM  
Anonymous Anonymous said...

its dumb cus it can be a bunch of different things

March 2, 2008 10:08 PM  

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