Exactly what time are they next aligned?
(it's not exactly 1:05)
2007-07-14 03:21:29 · 10 answers · asked by Nick J 4 in Science & Mathematics ➔ Mathematics
The obvious answers are 13:05, 14:10, etc, but these are incorrect. For example, at 13:05, by the time the minute hand has reached the '1' (for 5 past), the hour hand has already moved on a bit. Think about it before posting the obvious.
2007-07-14 03:28:31 · update #1
After noon, how many times will the hands be aligned during the next 12 hours?
If you think about it they will be aligned 11 times!Thus they are aligned every 12/11 hours.
Thus, the next time they will be aligned after 12:00, is 12/11 hours after noon, or 1.090909.... hours after noon. This translates into 1:05.454545... since.090909... * 60 = 5.454545...
This is the basis for a great (sort of trick) question: How many times in a day will the hands be aligned? Many people forget AM and PM!
2007-07-14 03:33:23 · answer #1 · answered by MathProf 4 · 2⤊ 1⤋
The answer to this question is not 13:05, 14;10 etc as some people are suggesting because the hour hand will have moved a bit. The hands of the clock are aligned every 65.45454545...seconds. This can be proved by taking into consideration that the next time the hands will be on 12:00 will be in 12 hours, which is exactly 720 minutes and in between this and the previous one, there are 11 alignments possible and dividing 720 minutes by 11 gives 65.454545...seconds. Thefore, the hands are aligned every 65.454545...seconds!
2007-07-14 04:39:51 · answer #2 · answered by john igein 1 · 0⤊ 1⤋
of course but 12:20:40 or 8:00:20 aren't the answers because the hour hand also moves a little as the minutes pass. for example for 12:20:40 the hour hand will be between 12 and 1. oh yeah and there can't be infinite answers to your question there is only 12 answers.
2016-05-17 10:10:45 · answer #3 · answered by ? 3 · 0⤊ 0⤋
The minute hand overtakes the hour hand 11 times in 12 hours - in other words, once every 12/11 hours: in other words, once in 65 5/11 minutes.
Therefore the next alignment is at 1.05 and 27.3sec (1dp)
2007-07-14 03:35:32 · answer #4 · answered by Michael B 7 · 0⤊ 1⤋
The minute hand moves 6 degrees/minute while the hour hand moves .5 degrees per minute.
Thus , starting at 1:00 PM the minute hand will move through 6t degrees and the hour hand .5t degrees. Since the hour hand starts out 30 degrees ahead of the minute hand, we have 6t +30 = .5t.
5.5t = 30
t = 5.454545455 minutes
t= 1:05:27:363636
5 minutes, 27.37 seconds past 1:00 PM
2007-07-14 04:05:39 · answer #5 · answered by ironduke8159 7 · 0⤊ 1⤋
Close, but no cigar, John I.
720 minutes / 11 = 65.45454545 MINUTES.
2007-07-14 04:56:05 · answer #6 · answered by Anonymous · 0⤊ 1⤋
x - x/12 = 30
11x/12 = 30
x = 32.7272 minutes = 32 min 44 sec
time 12:32:44
2007-07-14 03:30:21 · answer #7 · answered by CPUcate 6 · 0⤊ 3⤋
01:05:05sec
02:10:10sec
03:15:15sec
04:20:20sec
and so on
2007-07-14 03:34:42 · answer #8 · answered by Anonymous · 0⤊ 1⤋
1305, 1410, 1515, 1620, 1725, 1830, 1935, 2040, 2145, 2250, 2355 and 0000/1200 again.
2007-07-14 03:30:42 · answer #9 · answered by Mike T 6 · 0⤊ 4⤋
13.05 -14.10 -15.15-16.20-17.25-18.30 shal i go on ?
2007-07-14 03:25:25 · answer #10 · answered by borgpicard 4 · 0⤊ 6⤋