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# Between 12:24 and 14:36 the hour hand of a clock turns by? I

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Manager
Joined: 27 Sep 2006
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Between 12:24 and 14:36 the hour hand of a clock turns by? I [#permalink]  16 Nov 2006, 17:09
Between 12:24 and 14:36 the hour hand of a clock turns by?

I got it right by doing the following and am not sure if my method is right.

At 12, 0degrees.
360/12=30 degrees for minutes hand.
30 degrees = 60 mins therefore 24 mins = ?
(24 * 30)/60 = 12

therefore clock at 12:24= 0+12 = 12 deg.

Similarly, 14 = 60 degrees +
30 degrees = 60 mins therefore 36 mins =?
(30 * 36)/60 = 18
60+18 = 78

therefore distance between 2 times is 78-12=66 degrees.

Solution: hand will turn by 11 divisions, each corresponding to 12 minutes. (?)
one division created angle of 360/60 = 6 degrees. Thus the hand will turn by 11*6=66 degrees. ?

I'd love an explanation to the solution! thanks.
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[#permalink]  17 Nov 2006, 05:03
Helo,

The explanation would be:

Every hour, the hour hand turns 30 degrees (360 degrees/12 hours)

so from 12:24 to 2:36 , we have 2 complete hours so turs by 60 degrees.

For the 12 minutes left, 1 hour turns 30 degrees, the 12 minutes the hand turns (12/60)*30 = 6 degrees.

60+6=66 degrees.

Hope it was clear enough

PS! This is my first post on this great forum, I'll be doing my GMAT in a month time.
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[#permalink]  17 Nov 2006, 05:08
another simple solution,

from 12:24 to 2:36 we have 132 minutes

Every 60 mins, the hand turns by 30 degrees. so 132 will turn by 30*132/60 = 66

Last edited by Special on 17 Nov 2006, 22:51, edited 1 time in total.
Manager
Joined: 27 Sep 2006
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thanks! [#permalink]  17 Nov 2006, 20:07
special - thank you! looks like you are on your way. i wish you a nice round number score of 800.
thanks!   [#permalink] 17 Nov 2006, 20:07
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# Between 12:24 and 14:36 the hour hand of a clock turns by? I

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