Question

Хозяин собаки шел от дома со скоростью 80 м/мин. Через 5 минут за ним из дома выбежала собака и побежала со скоростью 280 м/мин. На каком расстоянии от дома собака догонит хозяина? Решение и ответ плиииз!!!

Answer 1

1)80*5=400(м)пройдёт хоз. и собака через 5 мин
2)1 (мин)*60(сек)=60(сек) это нужно потому что вторая собака бежит быстрее.
3)400:280=1(ост120сек.)(ч)
4)120:60=2(сек)
Ответ:вторая собака догонит первую за один час и две секунды.

Answer 2

Problem Analysis

We are given that the owner of a dog is walking away from home at a speed of 80 m/min. After 5 minutes, the dog starts running from home towards the owner at a speed of 280 m/min. We need to determine the distance from home where the dog catches up to the owner.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between the dog and the owner is the difference between their speeds. In this case, the relative speed is 280 m/min - 80 m/min = 200 m/min.

Since the dog starts running 5 minutes after the owner, we need to calculate the distance the owner covers in those 5 minutes. The distance covered by the owner in 5 minutes can be calculated by multiplying the owner's speed by the time: 80 m/min * 5 min = 400 meters.

Now, we can calculate the time it takes for the dog to catch up to the owner. We can use the formula: time = distance / speed. The distance the dog needs to cover to catch up to the owner is 400 meters. The relative speed between the dog and the owner is 200 m/min. Therefore, the time it takes for the dog to catch up to the owner is 400 meters / 200 m/min = 2 minutes.

Finally, we can calculate the distance from home where the dog catches up to the owner. The dog runs at a speed of 280 m/min for 2 minutes, so the distance it covers is 280 m/min * 2 min = 560 meters.

Therefore, the dog will catch up to the owner at a distance of 560 meters from home.

Answer

The dog will catch up to the owner at a distance of 560 meters from home.