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Thalia

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  1. Well, there's an even number of players and an even number of letters. Once you've hit the 13th round, they start repeating letters. So if they alternate, all the Cons will have even letter (B, D, F, etc) initials and call odd letters. Prose have odd letter (A, C, E, ...) initials and call even.

  2. Does the circle alternate between teams? If so...

     

    Cons: Taylor, Brown, Jenkins, Babcock, Randolph, Flynn, Timmons, Lucas, Peters


    Prose: Miller, Gerson, Adams, Carver, Smith, Sawyer, Myers, Morton, Young

     

  3. On 5/11/2019 at 4:26 PM, Thalia said:

    Revised answer:

      Hide contents

    7/24 without equilateral

    3/8 with equilateral

    Both excluding impossible triangles. 

    Well, I seem to have done some weird math when adding equilateral. New result including equilateral:

    23/72

    I think rocdocmac and I agree on the figure including equilateral now but we seem to have diverged on the other figure...

  4. A visual approach.

    You can represent the whole trip as a rectangle (or circle or other shape) and divide it into 5ths. Shade in sections as you go. You'll have to do a little more dividing for the 3rd and 4th hours but those numbers work out pretty well.

    Hour 1: 3/5 left (2 of 5 sections gone)

    Hour 2: 2/5 left (1 of 3 sections gone)

    Hour 3: split the 2 remaining sections in half so you have 4 sections, each 1/10 of the total. 3/10 left (1 of 4 sections gone)

    Hour 4: split in half again giving 6 sections, each 1/20 of the whole. 3/20 left (1 of 6 sections gone). 

    (3/20)x = 20 miles

    Solve for x.

    This obviously wouldn't work well with numbers that aren't so nice but I learn better with pictures. 

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