What would you like to do?

There are 5 racing tracks and 25 horses At a time you can conduct race for 5 horses in the five available tracks What will be the minimum number of trials needed to find out the ultimate winner run?

already exists.

Would you like to merge this question into it?

already exists as an alternate of this question.

Would you like to make it the primary and merge this question into it?

exists and is an alternate of .

Let's take an assumption, each horse runs at uniform speed every time. They all have different but fixed speed tag.

Step 1) Divide the 25 horses into 5 groups. Each group will have 5 horses each.

Step 2) Conduct 5 races for the 5 groups.

Step 3) Conduct an another race with each group winners. (i.e. Fastest from Group 1, Fastest from Group 2, ... , and Fastest from Group 5)

Step 4) Choose the winner from the Step 3. That will be fastest horse. (So, it needs only 6 races to find out the fastest horse of all the 25 horses)

Additionally,
Step 5) Name the horses as below:
{a1,a2,..., a5}--> For the group which has the fastest horse after Step 3 (6th Race)
{b1,b2,...,b5}---> For the group which has the 2nd fastest horse after Step 3
{c1,c2,...,c5}----> For the group which has the 3rd fastest horse after Step 3
{d1,d2,...,d5}---> For the group which has the 4th fastest horse after Step 3
{e1,e2,...,e5}---> For the group which has the 5th fastest horse after Step 3

Where according to their speed, a1>a2>..>a5; b1>b2>..>b5; c1>c2>..>c5; d1>d2>..>d5 and e1>e2>..>e5, also, a1>b1>c1>d1>e1, but not necessarily, b1>a2, c1>b2 etc. [Clearly a1 is the fastest horse]

Step 6) Conduct a race with a2, a3, b1, b2 and c1 to find out the 2nd fastest and 3rd fastest of all the 25 horses.
So, we need to conduct only 7 races to find out the top 3 fastest horses!
7 people found this useful
Thanks for the feedback!

Can children go to a horse race track?

Yes children can go to Racetracks. They are not allowed to bet of course, but many love going to see the horses and helping their parents to pick out horses to bet on.

Where are the horse racing tracks in Florida?

Calder Race Course - Miami, FL, USA Gulfstream Park - Hallandale, Florida, USA Hialeah Park - Miami, FL, USA Pompano Park - Pompano Park, FL, USA Tampa Bay Downs - Oldsmar,

What are the 5 classic horse races?

  The five classic horse races refer to the flat racing season (not National Hunt racing).   They are;   The 2,000 Guineas   The 1,000 Guineas   The Oakes  

What distance does the number 8 pole represent on a horse race track?

An eighth pole is one of a series of vertical wooden markers located on the inside of the rail at horse racing tracks to tell jockeys how far they are from the finish line. Th
In Racing

What is oldest horse racing track in the US?

In 1665, the first racetrack was constructed on Long Island. The course was named Newmarket -- on the Salisbury Plains section of what is now known as the Hempstead Plains o
In Racing

What is a circular Horse Racing Track called?

  In ancient times, Greeks created tracks for horse racing called Hippodromes. Romans designed tracks based off of the Hippodrome called a Circus, which was slightly narro

Where does a horse race start on the track?

Depends on the distance of the race and the length of the track  itself. On most tracks, sprints (shorter races) start on the  backstretch. On most tracks, routes (longer ra

Was there a horse race track in Laredo Texas?

Yes, technically there is a horse racing track in Laredo Texas. It is called Laredo Race Park, it is a class 2 racetrack. It is licensed, but has not been constructed yet.