BGonline.org Forums

OT Analog clock math problems

Posted By: storm
Date: Tuesday, 4 May 2010, at 6:26 p.m.

In Response To: OT Analog clock math problems (Jason Lee)

For the fun part:

The angle between minute and second hands increases by 120 degrees in 20/59 min and between hour and minute in 240/11 min so at a time where the desired positioning occurs we must have natural numbers a, b such that 12*59*a = 11*b. Since 12*59 and 11 are relative prime first solution is a=11 and b = 12*59 so between two occurrences where all angles are multipla of 120 degrees passes 12 hours and no "true" occurence of 120 degree angles are possible.

Messages In This Thread

• OT Analog clock math problems
  Jason Lee -- Monday, 3 May 2010, at 10:57 p.m.
  • OT Analog clock math problems
    Bob Koca -- Tuesday, 4 May 2010, at 12:11 a.m.
    • OT Analog clock math problems
      Sam Pottle -- Tuesday, 4 May 2010, at 12:24 a.m.
      • OT Analog clock math problems
        Bob Koca -- Tuesday, 4 May 2010, at 12:26 a.m.
  • OT Analog clock math problems
    Bob Koca -- Tuesday, 4 May 2010, at 12:14 a.m.
    • OT Analog clock math problems
      Timothy Chow -- Tuesday, 4 May 2010, at 12:20 a.m.
      • OT Analog clock math problems
        Sam Pottle -- Tuesday, 4 May 2010, at 12:25 a.m.
    • OT Analog clock math problems
      Jason Lee -- Tuesday, 4 May 2010, at 12:34 a.m.
  • OT Analog clock math problems
    Daniel Murphy -- Tuesday, 4 May 2010, at 2:19 a.m.
  • OT Analog clock math problems
    joe freedman -- Tuesday, 4 May 2010, at 2:22 a.m.
    • OT Analog clock math problems
      joe freedman -- Tuesday, 4 May 2010, at 2:34 a.m.
    • OT Analog clock math problems
      Jason Lee -- Tuesday, 4 May 2010, at 3:41 a.m.
  • OT Analog clock math problems
    Daniel Murphy -- Tuesday, 4 May 2010, at 4:59 a.m.
  • OT Analog clock math problems
    Bob Koca -- Tuesday, 4 May 2010, at 6:26 a.m.
    • OT Analog clock math problems
      Bob Koca -- Tuesday, 4 May 2010, at 6:31 a.m.
  • OT Analog clock math problems
    Nack Ballard -- Tuesday, 4 May 2010, at 11:17 a.m.
    • OT Analog clock math problems
      Nack Ballard -- Tuesday, 4 May 2010, at 5:22 p.m.
  • are we on the clock answering this?
    Chuck Bower -- Tuesday, 4 May 2010, at 1:38 p.m.
    • are we on the clock answering this?
      Timothy Chow -- Tuesday, 4 May 2010, at 3:56 p.m.
      • are we on the clock answering this?
        Chuck Bower -- Tuesday, 4 May 2010, at 7:22 p.m.
  • OT Analog clock math problems
    Tom Keith -- Tuesday, 4 May 2010, at 5:36 p.m.
  • OT Analog clock math problems
    storm -- Tuesday, 4 May 2010, at 6:26 p.m.
    • OT Analog clock math problems
      storm -- Tuesday, 4 May 2010, at 6:29 p.m.
      • OT Analog clock math problems
        Nack Ballard -- Tuesday, 4 May 2010, at 8:47 p.m.
        • OT Analog clock math problems
          Nack Ballard -- Wednesday, 5 May 2010, at 2:33 a.m.
  • OT Analog clock math problems
    Daniel Murphy -- Tuesday, 4 May 2010, at 6:47 p.m.