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# m25 #12

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Between 12:24 and 14:36 the hour hand of the clock turns by [#permalink]

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28 Oct 2008, 05:23
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Between 12:24 and 14:36 the hour hand of the clock turns by

(A) 60 degrees
(B) 66 degrees
(C) 72 degrees
(D) 74 degrees
(E) 76 degrees

[Reveal] Spoiler: OA
B

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28 Oct 2008, 06:38
Between 12:24 and 14:36 the hour hand of the clock turns by

60 degrees
66 degrees
72 degrees
74 degrees
76 degrees

~66 degrees

At 12:24 hour hand will be at 2 * 6 = 12 degrees from 12.

After 18 degrees it will reach 13:00 (3 divisions remaining so 3*6 degrees)
After 30 degrees it will reach 14:00 ( 5 divisions 5*6)
After 18 degrees it will reach 14:36 ( 3 divisions 3*6)
Thus hour hand will turn by 18 + 30 + 18 = 66 degrees
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28 Oct 2008, 09:18
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I agree with the 66 degrees answer.

First, there is 360 degrees movement every 12 hours. 360 / 12 = 30 degrees between each number, which the hour hand moves in 60 minutes. So in 1 minute, the hour hand moves one half degree. Now that we know how far the hour hand moves per minute, we can figure out how many minutes there are between 12:24 and 14:36. That would be 2 hours 12 minutes, or 132 minutes. 132 * 1/2 = 66.

Between 12:24 and 14:36 the hour hand of the clock turns by

60 degrees
66 degrees
72 degrees
74 degrees
76 degrees

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07 May 2010, 07:02
66 degrees seems to be the right answer.
Angular distance traveled = Angular speed <degrees traveled /minute> * Time <minutes>.
Which in this case will be 0.5 deg/min * 132 = 66 degrees.
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07 May 2010, 19:19
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Ans: B
in 1 hour 30 DEG. & 1/2 DEG in min.
so in 2 hour 12 min 66 DEG
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09 May 2010, 14:03
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12:24 - 14:24 = 120mins
14:24 - 14:36 = 12mins
total time = 2 hrs 12mins

12 hours = 360 degrees
1 hr = 30 deg
2 hrs = 60 degrees
12mins = 12/60 * 30 = 6 degrees

Angular distance covered = 66 degrees
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20 May 2010, 05:27
total min = 132

So hour hand moved 132 * (1/2) degree = 66

66 is the snswer.
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20 May 2010, 05:41
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Okay once again before peeking. The first thing is to figure how many degrees each hour segment is. This is easy. 12 hours and 360 degrees. One twelfth of 360=30 degrees. Then how much for minutes. 60 minutes = 30 degrees.

Next the difference between the two times is 2 hours (30x2=60 degrees) and 12 minutes. So we want to see how any degrees in 12 minutes. 12/60 = 1/5. we multiply this by 30 degrees and get 6 degrees.

So very quickly we see the answer is 66 degrees. Answer B.

Now peeking. B. Yay!

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11 May 2011, 04:14
In 12 * 60 min, hour hand turns by 360 degrees

12:24 - 14:36 = 2 hrs 12 min = 120 + 12 = 132 min

=> Angles turned = 360/720 * 132 degrees

= 132/2 = 66 degrees

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11 May 2011, 07:25
66 degrees. Pretty easy to logic this one out.
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11 May 2011, 07:44
In one hour, the hour hand moves 360/12 = 30 degree.
so from 12:24 to 14:24 it will move 30 + 30 = 60 degrees.
now from 14:24 to 14:36 the total time passed is 12 minutes which is 1/5 of one hour so the hour hand will move 1/5 of what it moves in one hour i.e. 30/5 = 6
so the total angle the hour hand has moved is 30+30+6 = 66 degrees.

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13 May 2011, 12:27
12 hr = 360 degree rotation
=> 1 hour =30 degree rotation
=>2.2 hours =66 degree rotation

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08 Mar 2012, 21:15
Hi there, I can't figure out what's wrong..but..

I understand 360 degrees/ 12 hour = 30 degrees per hour..
but 360 degree/60min = 6 degree per min...
why 1/2??
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15 May 2012, 09:44
Ans: 66 Deg

12 Hrs --> 360 Deg
1 Hr --> (360/12) --> 30 Deg
1 min --> 30/60 --> 0.5 Deg

12:24 to 14:36 = 2 hrs 12 mins => (30x2) +(12x0.5) = 60 +6 = 66 Deg
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15 May 2012, 11:19
+1 for 66 degree....
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16 May 2012, 00:37
Answer is B - 66 degrees.

12 hours equal 360 degrees -> 2 hours would be 60 degrees. Now we can eliminate answer choice A, which equals 60.
1 hour= 60 minutes = 30 degrees, so 12 minutes would be less than 12 degrees, so answer choice C (which equals 72) and D, E (which are larger) are also eliminated. No further calculations are required and B is correct.
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19 May 2012, 20:55
abhishekshannu wrote:
Hi there, I can't figure out what's wrong..but..

I understand 360 degrees/ 12 hour = 30 degrees per hour..
but 360 degree/60min = 6 degree per min...
why 1/2??

Hi there,

As you wrote correctly, its 30 degrees per hour=30/60 =1/2 degrees per minute (since there are 60 minutes in an hour..)
In other words, the correct form is "360 degrees/(12*60)" and not "360 degree/60min".
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22 May 2013, 21:53
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hey, the question asks for the the number of degrees in revolving from 12:24 to 2:36 .
lets first calculate how many degrees a hour hand cover in rotating one minute.
hour hand moves (12*60 = 720 minutes) a day. and for covering these 720 minutes, it moves 360 degrees.

so for every minutes it moves 360/720 = 1/2 degrees/ minutes.

here the hour hand moved = 36+ 60 + 30 = 132 minutes
so the hour hand will move 132/2 = 66 degrees.

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23 May 2013, 16:40
Well Explained !!!
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30 Jun 2013, 14:47

For every 60 mins - the hour hand moves 360/12 = 30 degrees

For 24 mins - the hour hand will move 30*24/60 = 12 degrees
For 36 mins - the hour hand will move 30 *36/60 = 18 degrees

At 1400, the hour hand would move 2 *30 = 60 Degrees
So at 1436 it moves 60+ 18 = 78 Degrees

The difference between the two times is 78 - 12 = 66 degrees. (B)
Re: m25 #12   [#permalink] 30 Jun 2013, 14:47

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# m25 #12

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