Question

В погоне за лисой собака бежит со скоростью 8м/с,а лиса со скоростью 6м/с . Начальное расстояние между ними 360м, а лисе осталось бежать до нары ещё 1км. Успеет ли она спрятаться в норе? Привидите решение задачи.

Answer 1

Каждую секунду значит уменьшается расстояние на 2 метра, значит 360:2=140 секунд, теперь вычисляем успеет ли лиса за это время добежать? 1000:6=166,7
166,7-140=26,7 ей не хватит 26,7 секунды...

Answer 2

Problem Analysis

In this problem, we are given that a dog is chasing a fox. The dog runs at a speed of 8 m/s, while the fox runs at a speed of 6 m/s. The initial distance between them is 360 m, and the fox has to run an additional 1 km to reach its burrow. We need to determine if the fox will be able to reach its burrow before the dog catches it.

Solution

To solve this problem, we can calculate the time it takes for the dog to catch up to the fox and compare it to the time it takes for the fox to reach its burrow.

Let's start by calculating the time it takes for the dog to catch up to the fox. We can use the formula:

time = distance / speed

The distance the dog needs to cover to catch up to the fox is the initial distance between them, which is 360 m. The speed of the dog is 8 m/s. Plugging these values into the formula, we get:

time = 360 m / 8 m/s = 45 seconds Now, let's calculate the time it takes for the fox to reach its burrow. The additional distance the fox needs to run is 1 km, which is equal to 1000 m. The speed of the fox is 6 m/s. Plugging these values into the formula, we get:

time = 1000 m / 6 m/s ≈ 166.67 seconds Comparing the two times, we can see that the dog will catch up to the fox in 45 seconds, while the fox needs approximately 166.67 seconds to reach its burrow. Since 45 seconds is less than 166.67 seconds, the fox will not be able to reach its burrow before the dog catches it.

Therefore, the fox will not be able to hide in its burrow.

Conclusion

Based on the calculations, the fox will not be able to reach its burrow before the dog catches it. The dog will catch up to the fox in 45 seconds, while the fox needs approximately 166.67 seconds to reach its burrow.