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# What is the angle between the minute and the hour hand of

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What is the angle between the minute and the hour hand of [#permalink]  15 May 2008, 21:00
What is the angle between the minute and the hour hand of the clock which shows 12:24?

115
120
124
130
132
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Re: M12-26 [#permalink]  15 May 2008, 21:07
I must be doing this wrong, but I get:

30/180 = 24/x; cross-multiply to get
30x = 4320; then divide by 30 to get
x = 144.
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Re: M12-26 [#permalink]  15 May 2008, 21:08
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Hi
I get E 132

The hour hand moves 5 minutes in 60mins, therefore in 24 mins its has moved 2 mins. The ratio of the angle = (24-2)/60=x/360
Therefore x=132
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Re: M12-26 [#permalink]  15 May 2008, 21:12
Dope, forgot about the hour hand moving as well.
Yeah, the answer should be 132 not 144 as I originally thought.

Last edited by lucyqin on 15 May 2008, 21:28, edited 1 time in total.
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Re: M12-26 [#permalink]  15 May 2008, 21:32
Its E 132

for every 60 divisions of minute hand hour hand moves 5
so for 24 divisions of minute hand hour hand moves 2
difference in divisions between hour hand and minute hand now=22
therefore 360/60 x 22=132
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Re: M12-26 [#permalink]  16 May 2008, 04:38
I learned something with this question!
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Re: M12-26 [#permalink]  16 May 2008, 04:46
I agree. The hour hand keeps moving at for those 24 mins.

IMO: 132.
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Re: M12-26 [#permalink]  16 May 2008, 19:23
neeraj.kaushal wrote:
Its E 132

for every 60 divisions of minute hand hour hand moves 5
so for 24 divisions of minute hand hour hand moves 2
difference in divisions between hour hand and minute hand now=22
therefore 360/60 x 22=132

So nice! I keep the hour hand fixed, only the minute hand moving, so I also got 144. Thank you!
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Re: M12-26   [#permalink] 16 May 2008, 19:23
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