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Trivia
There are twenty-five race horses. Find the top three fastest race horse by running the least number of races.
Only five horses can race at a time. How many races does it take to find the top three horses?
Answer to September Trivia-Puzzle
A man walks upwards on an escalator, with a speed of 1 step per second, after 50 steps he reached the top. He turned around and ran downwards with a speed of 5 steps per second, and after 125 steps, he returned to the bottom of the escalator. If the escalator stood still how many steps would he need to reach the top and then go back down to the bottom?
100 is correct answer. Upwards (along with the escalator), you walk 1 step per second. You need 50 steps, so that takes 50 seconds. This gives the following equation:
L steps - 50 seconds × v steps/second = 50 steps.
Downwards (against the direction of the escalator), you walk 5 steps per second. You need 125 steps, so that takes 25 seconds. This gives the following equation:
L steps + 25 seconds × v steps/second = 125 steps.
From the two equations follows: L = 100, v = 1. When the escalator stands still, you need 100 steps.
