Question

Собака погналась за зайцем, который был от неё на расстоянии 60 м. Скачок собаки — 2 м, скачок зайца — 1 м. В то время как заяц делает 3 скачка, собака делает только 2 скачка. Догонит ли собака зайца? Сколько скачков она должна сделать для этого? Какое расстояние пробежит собака?

Answer 1

Ответ:

Вроде так, можно лучший ответ?

Пошаговое объяснение:

1)3*1=3 метра зайца

2)2*2=4 метра собаки

3)4-3=1 метр сближение

4)60:1=60 отрезков

5)60*2=120 скачка

6)120*2=240 метра

Ответ: Собака догонит на 240 метре зайца

Answer 2

Problem Analysis

We are given that a dog is chasing a hare, with the hare initially 60 meters ahead of the dog. The dog can jump 2 meters at a time, while the hare can jump 1 meter at a time. The hare makes 3 jumps while the dog makes only 2 jumps. We need to determine if the dog will catch the hare, and if so, how many jumps it will take and how far the dog will run.

Solution

To determine if the dog will catch the hare, we need to compare the distances covered by both the dog and the hare after the same number of jumps. Since the dog makes 2 jumps and the hare makes 3 jumps, we can calculate the distances covered by both animals after 2 jumps for the dog and 3 jumps for the hare.

Let's calculate the distances covered by the dog and the hare after 2 jumps:

- Dog: 2 jumps * 2 meters/jump = 4 meters - Hare: 3 jumps * 1 meter/jump = 3 meters

After 2 jumps, the dog has covered 4 meters, while the hare has covered only 3 meters. Since the dog covers more distance in the same number of jumps, we can conclude that the dog will catch the hare.

To determine the number of jumps the dog needs to catch the hare, we can calculate the difference in distance between the dog and the hare after each jump. Since the dog covers 2 meters per jump and the hare covers 1 meter per jump, the difference in distance between them decreases by 1 meter after each jump.

Let's calculate the number of jumps the dog needs to catch the hare:

- Initial distance between the dog and the hare: 60 meters - Distance covered by the dog in each jump: 2 meters - Distance covered by the hare in each jump: 1 meter - Difference in distance after each jump: 2 meters - 1 meter = 1 meter

To catch up to the hare, the dog needs to reduce the initial distance of 60 meters by 1 meter after each jump. Therefore, the dog needs to make 60 jumps to catch the hare.

To calculate the total distance covered by the dog, we can multiply the number of jumps by the distance covered in each jump:

- Total distance covered by the dog: 60 jumps * 2 meters/jump = 120 meters

Therefore, the dog will catch the hare after 60 jumps, and it will run a total distance of 120 meters.

Conclusion

In conclusion, the dog will catch the hare after 60 jumps, covering a total distance of 120 meters.