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# How many times do minute and hour arrows constitute a right

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SVP
Joined: 03 Feb 2003
Posts: 1607
Followers: 6

Kudos [?]: 84 [0], given: 0

How many times do minute and hour arrows constitute a right [#permalink]  10 Aug 2003, 10:26
How many times do minute and hour arrows constitute a right angle during a 24-hour period?
GMAT Instructor
Joined: 07 Jul 2003
Posts: 770
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
Followers: 13

Kudos [?]: 70 [0], given: 0

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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AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

SVP
Joined: 03 Feb 2003
Posts: 1607
Followers: 6

Kudos [?]: 84 [0], given: 0

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.
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