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There are 25 horses and only five tracks in a race.
How do you find the second coming horse of all the 25
horses, provided there is no stop clock? (obviously, a
horse cannot participate more than once in a race).
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Answer Posted / mikhailfranco
Obviously horses must be allowed to compete in more than one
race, and they are assumed not to tire as they run races, so
their performance is constant.
Round 1: 5 races of 5
Round 2: 5 winners of Round 1
-> winner is overall 1st place (6 races)
Round 3: remove the winner of Round 2,
add the horse that came behind it in Round 1
-> winner is overall 2nd place (7 races)
Round 4: remove the winner of Round 3,
add the horse that came behind it in Round 1
-> winner is overall 3rd place (8 races)
So you can find the winner in 6 races (trivial), then top
two in 7 races, and top three in 8 races.
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