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what is the angle between the minute and hour hand of the

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what is the angle between the minute and hour hand of the [#permalink] New post 15 Nov 2006, 05:21
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what is the angle between the minute and hour hand of the clock which shows 12:24?

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Clocks [#permalink] New post 15 Nov 2006, 05:39
The clock's minute hand turns 360 deg in 60 mins (1 hr)
Therefore in 24 minutes it turns
24*360/60 = 144 deg

The clock's hour hand turns 1/12 of 360 deg in 1 hr (i.e. it moves from 12 to 1 in 1 hr) That is, it turns 30 deg in 60 mins.
Therefore in 24 mins it turns
24*30/60 = 12 deg

Therefore the angle between them = 144-12 = 132 degrees.

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 [#permalink] New post 15 Nov 2006, 05:45
12-1: 18 degrees
1-2: 30 degrees
2-3: 30 degrees
3-4: 30 degrees
4-5: 24 degrees

total of 132 degrees.
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The path is long, but self-surrender makes it short;
the way is difficult, but perfect trust makes it easy.

  [#permalink] 15 Nov 2006, 05:45
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