Question

Ма с собакой пошел встречать папу. Когда собака увидела папу, она побежала к нему со скоростью 5 м /с. Добежав до него, она сразу же побежала обратно к Диме. Добежав до Димы, собака снова побежала к папе и т.д. Какое расстояние пробежала собака, если Дима и папа двигались со скоростью 1,5 м/с, а первоначальное расстояние между ними было равно 300м

Answer 1

Решение смотри в приложении

Answer 2

Problem Analysis

We are given the following information: - A person named Dima and their father are moving towards each other with a speed of 1.5 m/s. - The initial distance between them is 300 meters. - A dog runs towards the father with a speed of 5 m/s, then immediately turns around and runs towards Dima, and so on.

We need to find the total distance covered by the dog.

Solution

To solve this problem, we can break it down into two parts: 1. The distance covered by the dog while running towards the father. 2. The distance covered by the dog while running towards Dima.

Let's calculate these distances separately and then add them to find the total distance covered by the dog.

Distance covered while running towards the father

The dog runs towards the father with a speed of 5 m/s. We need to find the time it takes for the dog to reach the father.

Using the formula `distance = speed × time`, we can rearrange the formula to solve for time: `time = distance / speed`.

The distance covered by the dog while running towards the father is equal to the initial distance between Dima and the father.

Let's calculate the time taken by the dog to reach the father:

Distance: 300 meters Speed: 5 m/s

Time taken: 300 meters / 5 m/s = 60 seconds

So, the dog takes 60 seconds to reach the father.

Distance covered while running towards Dima

After reaching the father, the dog immediately turns around and runs towards Dima. The distance covered by the dog while running towards Dima is also equal to the initial distance between Dima and the father.

Using the same formula as before, we can calculate the time taken by the dog to reach Dima:

Distance: 300 meters Speed: 5 m/s

Time taken: 300 meters / 5 m/s = 60 seconds

So, the dog takes another 60 seconds to reach Dima.

Total distance covered by the dog

Now, let's calculate the total distance covered by the dog.

The dog covers a distance of 300 meters while running towards the father and another 300 meters while running towards Dima.

Total distance: 300 meters + 300 meters = 600 meters

Therefore, the dog covers a total distance of 600 meters.

Answer

The dog covers a total distance of 600 meters.