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

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Intern
Joined: 04 Feb 2004
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What is the angle between the hour and minute hand when the [#permalink]

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04 Apr 2005, 11:43
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

What is the angle between the hour and minute hand when the time is 12:24?

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Senior Manager
Joined: 19 Feb 2005
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04 Apr 2005, 12:36
mmmmm
tricky game
1) calculate angular speed, which is
0.5 degrees/minute (hours)
60 degrees/minute (minutes)
2) 60*24-0.5*24= 132

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VP
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04 Apr 2005, 12:53
360/60min=6degree/min

x*60min=24min => x=0,4 => 0,4 * 5min=2

24min-2min=22min*6=132!

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Senior Manager
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04 Apr 2005, 12:57

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04 Apr 2005, 14:06
christoph,

could you please explain why you divide 360 by 60? where does the 60 come from?

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Intern
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Should it be... [#permalink]

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04 Apr 2005, 14:57
60 min = 360 degrees
24 min = x degrees

x= 24*360/60 = 144 degrees

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Director
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04 Apr 2005, 15:47
132 it is

Take hours hand

12 hours it moves it make 360 degrees
so every 30 degrees it moves for 1 hour or 60 mins...

So for 24 mins it moves 12 degrees

Now take minutes hand

For every 60 mins it makes 360 degrees
so for 24 mins it makes 144 degrees.

Now find the diff = 132 degrees

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Manager
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05 Apr 2005, 07:47
rc1979 wrote:
What is the angle between the hour and minute hand when the time is 12:24?

First calculate angular movement for minute hand(MH):
In 1 hr MH moves 360 degrees
Thus in 24 minutes it moves 360/60 * 24 = 144

Next calculate angular movement of the hr hand (HH):
In 12 hrs HH moves ->360 deg
In 1 hr(60 min) it moves -30 deg
Thus in 24 min it moves -> 24/60 * 30 = 12 deg

Therefore, the angle between MH & HH = 144 -12 = 132 degrees.

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Intern
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ok. i see now [#permalink]

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05 Apr 2005, 08:41
I see where I made a mistake..... I forgot that the hour hand moves too as the minute hand moves.... Thanks

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Director
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Re: ok. i see now [#permalink]

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06 Apr 2005, 21:07
Kama2007 wrote:
I see where I made a mistake..... I forgot that the hour hand moves too as the minute hand moves.... Thanks

at first i got 144 until i considered that the hour hand does move. Tricky!

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Re: ok. i see now   [#permalink] 06 Apr 2005, 21:07
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# What is the angle between the hour and minute hand when the

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