I am sure the clue lies here - I mean, since a *normal* analog clock will have a second hand, why not think of answers in seconds.
I am sick of squeezing by brain beyond a certain limit. Well, one instance would be 12:00:00 AM/PM, for sure.
I am sure the clue lies here - I mean, since a *normal* analog clock will have a second hand, why not think of answers in seconds.
I am sick of squeezing by brain beyond a certain limit. Well, one instance would be 12:00:00 AM/PM, for sure.
U
Umang Vidyarthi
It is shortly before 9:15 and not after, since the hour-hand has shot past the mark of '9' so equidistant minute-hand will be before the mark of '3'.
Say, the answer is "9 hours X minutes". According to proposition, the angle between the minute hand and "mark 3" of the watch is equal to the angle between the hour hand and "mark 9" of the watch.
We know in 60 minutes the minute-hand rotates 360 degrees. Therefore the minute hand travels @ 6 degrees per minute(360/60=6), and the hour hand rotates 360/12=30 degrees in 60 minutes, and hence travels @ 1/2 degree per minute (30/60=1/2).
Therefore, (15-X) minutes corresponds to 6(15-X) degrees (this is the angle between the minute hand and "mark 3").
And in X minutes the hour hand makes X/2 degrees with "mark 9".
Therefore X/2=6(15-X)
Therefore X=180/13 mnts
Therefore X=13 minutes 50 and 10/13 seconds.
So, the answer is: 9 hour, 13 minutes, 50 and10/13 second.
In the same way other positions can be worked out.
Umang
Yaaaaa....... 12:00':00" .... 
U
Umang Vidyarthi
Yep, granted as a consolation, but below expectation from a stalwart of your status.
Yaaaaa....... 12:00':00" ....
Good you are so joyous, but I am disappointed (personally, I hold you in high esteem).
There are a few, who gave this answer, which is unfit to give complete solution. You see the answer given 'must fit' all the possible solutions, else it is not the right answer.
As I said earlier, it is a tough nut to crack, so thanks to all to try and devote their valuable time.
Umang
With my humble regards to you always ... This and the thread " What is the smallest slice of time ? " together made an interesting reading. The instances when the right time occures also open an other question " What is the smallest slice of angle " ?Yep, granted as a consolation, but below expectation from a stalwart of your status.
Good you are so joyous, but I am disappointed (personally, I hold you in high esteem).
There are a few, who gave this answer, which is unfit to give complete solution. You see the answer given 'must fit' all the possible solutions, else it is not the right answer.
As I said earlier, it is a tough nut to crack, so thanks to all to try and devote their valuable time.
Umang
The smallest (or biggest) slice of anything is as much as your thoughts can apprehend.
Please go through this "Fantastic trip" that I felt to offer to you here for your weekend.
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I would have done the calculations, but the way the question was worded was misleading. "What time is it?" implies one, and only one, answer. "At what times does this occur?" would be asking for a complete set of answers. There are actually 23 correct answers every 12 hours, or 46 correct answers if you count am/pm.Yep, granted as a consolation, but below expectation from a stalwart of your status.
Good you are so joyous, but I am disappointed (personally, I hold you in high esteem).
There are a few, who gave this answer, which is unfit to give complete solution. You see the answer given 'must fit' all the possible solutions, else it is not the right answer.
As I said earlier, it is a tough nut to crack, so thanks to all to try and devote their valuable time.
Umang
I
iamnototep
That's like asking "What's the smallest (positive) real number?".
I
iamnototep
zero. zero is the angle between two parallel lines.