## Poll

 5 1 vote (12.5%) 6 No votes (0%) 7 1 vote (12.5%) 8 No votes (0%) 9 1 vote (12.5%) 10 1 vote (12.5%) 11 3 votes (37.5%) 12 1 vote (12.5%) Over 12 No votes (0%) I didn't understand the question. No votes (0%)

8 members have voted

prozema
Joined: Oct 24, 2016
• Posts: 1191
June 10th, 2017 at 7:48:48 PM permalink
Quote: Dalex64

Run 5 races of 5 horses each, all 25 horses are run.

Race #6 is the fastest horse from each of the first five races. Order the first 5 races from the one containing the fastest to the one containing the slowest of the 6th race

Select the 2nd and 3rd place horse from the race with the fastest horse from the first 5 races
Select the 2nd place horse from the heat with the second fastest horse from
Race those three horses with the 2nd and 3rd fastest horse from race 6.

That is race #7.

Well said. Looks like you got me by 3.5 minutes.
charliepatrick
Joined: Jun 17, 2011
• Posts: 2057
June 10th, 2017 at 8:37:19 PM permalink
Seven races.

I think this is the solution that has already been found, but this is how I did it.

Run five heats (a) thru (e) and assume you get horses A1-A2-A3-A4-A5 thru E1-E2-E3-E4-E5.
Sixth heat is the winners A1-B1-C1-D1-E1 (and assume A beats B beats C etc).

At this stage the winning horse is A1.
The second fastest horse is either B1 or A2.
The third fastest horse is either one of the above or A3 or B2.
So run A2 A3 B1 B2 C1 to determine second and third.
`A1 > B1 > C1  /    /A2   B2 |A3It could be A1 A2 A3, A1 A2 B1, A1 B1 A2, A1 B1 B2, A1 B1 C1 - the last race determines which.`

Wizard
Joined: Oct 14, 2009
• Posts: 21781
Thanks for this post from:
June 10th, 2017 at 8:58:16 PM permalink
It looks like prozema and Dalex64 are both correct. It could be argued who was first. How about I owe you both a beer? Charlie, looks like you are the third place horse.
It's not whether you win or lose; it's whether or not you had a good bet.
prozema
Joined: Oct 24, 2016
• Posts: 1191
June 10th, 2017 at 9:07:23 PM permalink
Ha! Getting it right was prize enough, besides I live in Missouri and beer is free in Las Vegas. Thank you for the puzzle!
Dalex64
Joined: Feb 10, 2013
• Posts: 1065
June 10th, 2017 at 9:15:22 PM permalink
Quote: Wizard

It looks like prozema and Dalex64 are both correct. It could be argued who was first. How about I owe you both a beer? Charlie, looks like you are the third place horse.

Sounds great! After conceiving of so many wrong answers in these challenges, it is nice to finally get one right.

I'll actually be in Vegas in mid-September this year.
RS
Joined: Feb 11, 2014
• Posts: 8623
June 10th, 2017 at 9:37:50 PM permalink

5 races of 5 different horses.
That's 5.
Race all top 5.
That's 6 races and you've found #1.
Horses that placed 4'th and 5'th in the 6'th race are done, as well as the other horses in their races, and the 4 horses in the race where the 3'rd horse was. Also remove horses that placed 3'rd, 4'th, and 5'th from the one with horse #2. Remove horses that placed 4'th and 5'th from horse #1 race.
This should leave 5 horses remaining (the fastest horse has already been determined and no longer in action).
Take horses those 5 horses, race them, and the winner is the second fastest horse and the 2'nd placer in that race is the third fastest.
That's 7 total.
MaxPen
Joined: Feb 4, 2015
• Posts: 3634
Thanks for this post from:
June 10th, 2017 at 10:36:20 PM permalink
Seeing as to how it is already answered I don't se the need to try. Before I scrolled down I was thinking a little bit about it. For some reason the Mr. Ed the Talking Horse theme song began to play in my head.

odiousgambit
Joined: Nov 9, 2009
• Posts: 8295
June 11th, 2017 at 2:09:49 AM permalink
I get 12 races, which I see is wrong. PS: boy did I come late to this!
the next time Dame Fortune toys with your heart, your soul and your wallet, raise your glass and praise her thus: “Thanks for nothing, you cold-hearted, evil, damnable, nefarious, low-life, malicious monster from Hell!” She is, after all, stone deaf. ... Arnold Snyder
Wizard
Joined: Oct 14, 2009
• Posts: 21781
June 11th, 2017 at 6:33:44 AM permalink
Quote: Dalex64

Sounds great! After conceiving of so many wrong answers in these challenges, it is nice to finally get one right.

That was a tough one too -- congratulations!

Quote:

I'll actually be in Vegas in mid-September this year.

Sounds good. Hope to see you then.
It's not whether you win or lose; it's whether or not you had a good bet.
billryan
Joined: Nov 2, 2009