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How many times do minute and hour arrows constitute a right

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How many times do minute and hour arrows constitute a right [#permalink] New post 10 Aug 2003, 11:26
How many times do minute and hour arrows constitute a right angle during a 24-hour period?
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 [#permalink] New post 10 Aug 2003, 18:25
kpadma wrote:
Is it 48?


Since the hands coincide every 65 5/11 minutes, they coincide 22 times in 24 hours after midnite. They are at right angles twice before each time they meet. Hence, the answer is 44.
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 [#permalink] New post 10 Aug 2003, 22:06
or an hour hand makes 2 rotations, and a minute hand makes 24 rotations, thus overtaking an hour hand 22 times. For each overtake there are 2 right-angle positions. 44.
  [#permalink] 10 Aug 2003, 22:06
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