Traditional Culture Encyclopedia - Traditional virtues - Mathematical Olympics: A dog is chasing a rabbit 20 meters ahead. It is known that dogs jump forward 3 meters and rabbits jump forward 2. 1 meter. Baidu's answer is debatable.
Mathematical Olympics: A dog is chasing a rabbit 20 meters ahead. It is known that dogs jump forward 3 meters and rabbits jump forward 2. 1 meter. Baidu's answer is debatable.
"The dog jumps three times and the rabbit can jump four times"-it means that the dog jumps one time and the rabbit jumps four-thirds. If the dog jumps once as the unit time, then:
The speed of the dog is 3 meters.
Rabbit speed: 2.1* 4/3 = 2.8m.
According to the formula of pursuit problem: pursuit time = pursuit distance/speed difference, the formula is: 20/(3-2.8) = 100 unit time-the time for a dog to jump.
So the distance the rabbit ran out is: 2.8 * 100 = 280 meters.
"Like a snail climbing up from the bottom of a well, it won't go down for the last time"-there won't be such a situation, the snail will slide down, and the dog will increase its distance every time it jumps; When the dog finally jumped down, it landed right on the rabbit.
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