Is there an unbeatable Cross-Country score?

Supertramp wrote:

We know that 15 is the perfect score in Cross-Country, but is there a low score that is truly unbeatable?

(Meaning, if you score 16, its not perfect, but it's also not possible to lose, because two teams cannot score 15 and 16 in a cross-country meet.)

What is the "highest low score" that is not beatable in Cross-Country?

I tried doing the math on this, but it was going to take a while (not a big math guy). I. figured I would just ask and see if anyone has already worked this out. I think it might be 27? But I am really not sure.

Anyone have any idea?

It is definitely not 27, ignore that.

Supertramp wrote:

Supertramp wrote:

We know that 15 is the perfect score in Cross-Country, but is there a low score that is truly unbeatable?

(Meaning, if you score 16, its not perfect, but it's also not possible to lose, because two teams cannot score 15 and 16 in a cross-country meet.)

What is the "highest low score" that is not beatable in Cross-Country?

I tried doing the math on this, but it was going to take a while (not a big math guy). I. figured I would just ask and see if anyone has already worked this out. I think it might be 27? But I am really not sure.

Anyone have any idea?

It is definitely not 27, ignore that.

Never-mind it might be, I'm going to shut-up now.

1 3 5 7 9?

The next best could just be

2 4 6 8 10

Maybe i am an idiot too

Well the sum of 1-10 = 55. The highest low score is 22-23. Now factor in pushers.

26 I think is the Highest total points for a sure win.. You can have a tie with 27

Excuse me. 27-28

The lowest unbeatable score would have to be 22, I think.

Two teams get all the top 10 spots. 1+2+3...+10 = 55. 55 is an odd number, thankfully, so there will be a winner, not a tie: 22 to 23.

22 is the highest unbeatable score. I feel good about that.

23 is the lowest beatable score. I feel good, but less confident, about that.

Good question, lol.

malmo wrote:

Excuse me. 27-28

lol, I made the same initial mistake malmo did, and still got in my answer behind malmo's correction. Sorry for posting on your coattails, mal.

27 is highest unbeatable score.

28 is lowest beatable score.

theJeff wrote:

malmo wrote:

Excuse me. 27-28

lol, I made the same initial mistake malmo did, and still got in my answer behind malmo's correction. Sorry for posting on your coattails, mal.

27 is highest unbeatable score.

28 is lowest beatable score.

Geez, can you imagine going to a meet with a thousand runners, finishing 1-4-6-8-9, and coming in second? lolol

2-3-5-7-10 ftw

Na 27 is it. 1,2,5,9,10-3,4,5,6,7,8

It's not 27 because you can lose scoring 27. You guys are answering the wrong question.

The lowest combined score of two teams A and B is when they claim the first 10 places which gives a score A + B = 55 = 1+2+3+4+5+6+7+8+9+10.

Thus the closest score A + B = 27 + 28 as above.

There are quite a few finishing combinations which give this score.

Not 27 wrote:

It's not 27 because you can lose scoring 27. You guys are answering the wrong question.

If 'Team A' scores 27, with any combination, I do not think it is possible for 'Team B' to have a lower score. That is what I am getting now.

Supertramp wrote:

We know that 15 is the perfect score in Cross-Country, but is there a low score that is truly unbeatable?

(Meaning, if you score 16, its not perfect, but it's also not possible to lose, because two teams cannot score 15 and 16 in a cross-country meet.)

What is the "highest low score" that is not beatable in Cross-Country?

I tried doing the math on this, but it was going to take a while (not a big math guy). I. figured I would just ask and see if anyone has already worked this out. I think it might be 27? But I am really not sure.

Anyone have any idea?

It is 27. In the top 10 spots (5 scorers for each team), there are a total of 55 points to give. 55/2=27.5. Give one team the other teams half point and you get 27-28.

Everyone is wrong. The correct answer is 35

Team A goes 1-4 with #5 way back

Team B goes 5,6,7,8,9

5+6+7+8+9= 35

The first 4 places of a race are taken by 4 or less teams but as long as a team scores 35 they can’t be beat.

Magic Number 35 wrote:

Everyone is wrong. The correct answer is 35

Team A goes 1-4 with #5 way back

Team B goes 5,6,7,8,9

5+6+7+8+9= 35

The first 4 places of a race are taken by 4 or less teams but as long as a team scores 35 they can’t be beat.

Good thing you didn't use a registered handle for that little bit of nonsense :-)

why have two people now thought that 22+23 = 55?

Magic Number 35 wrote:

Everyone is wrong. The correct answer is 35

Team A goes 1-4 with #5 way back

Team B goes 5,6,7,8,9

5+6+7+8+9= 35

The first 4 places of a race are taken by 4 or less teams but as long as a team scores 35 they can’t be beat.

you misunderstand the question. 35 is beatable by a large array of possible scores. The question is not simply "what is a big score that can get beat", it is what is the upper limit on a score before it is possible to lose with it.

liggity wrote:

Magic Number 35 wrote:

Everyone is wrong. The correct answer is 35

Team A goes 1-4 with #5 way back

Team B goes 5,6,7,8,9

5+6+7+8+9= 35

The first 4 places of a race are taken by 4 or less teams but as long as a team scores 35 they can’t be beat.

you misunderstand the question. 35 is beatable by a large array of possible scores. The question is not simply "what is a big score that can get beat", it is what is the upper limit on a score before it is possible to lose with it.

How about this.

Team A goes 1-4 which totals 10 points.

Team B finishes with places 5-9, which totals 35 points. Then runners 6 and 7 come in at 10th and 11th.

Team A can still win as long as their #5 runner finishes no higher than 24th place. A 25th place finish would be 35 but lose since Team B’s 6th and 7th already finished breaking the tie.

So 34 is the magic number