Question

Решите задачу: Андрей идёт от дома до станции метро. Через 8мин после выхода ему остаётся пройти 560м, через 12мин 240м. Сколько минут занимает у Андрея вся дорога и чему равно расстояние от дома до станции?

Answer 1

12-8=4
560-240=320
320:4=80м в мин
12•80=960м
960+240=1200м расстояние до станции
1200:80=14мин время всего пути

Answer 2

Problem Analysis

Andrey walks from his house to the metro station. We are given that after 8 minutes of walking, he still has to walk 560 meters, and after 12 minutes, he has to walk 240 meters. We need to find out how many minutes it takes for Andrey to complete the entire journey and the distance from his house to the metro station.

Solution

Let's assume that Andrey walks at a constant speed. We can calculate his walking speed by dividing the distance he has to walk by the time it takes him to cover that distance.

Let's calculate Andrey's walking speed for the first part of the journey: - Distance: 560 meters - Time: 8 minutes

Andrey's walking speed for the first part of the journey is 70 meters per minute.

Now, let's calculate Andrey's walking speed for the second part of the journey: - Distance: 240 meters - Time: 12 minutes

Andrey's walking speed for the second part of the journey is 20 meters per minute.

Since Andrey walks at a constant speed, we can assume that his walking speed is the same for the entire journey. We can calculate the total time it takes for Andrey to complete the journey by dividing the total distance by his walking speed.

Let's calculate the total time it takes for Andrey to complete the journey: - Total distance: Distance for the first part + Distance for the second part = 560 meters + 240 meters = 800 meters - Walking speed: 70 meters per minute (from the first part of the journey)

Total time = Total distance / Walking speed = 800 meters / 70 meters per minute

Now, let's calculate the total time it takes for Andrey to complete the journey: - Total time = 11.43 minutes

Therefore, it takes Andrey approximately 11.43 minutes to complete the entire journey.

To find the distance from Andrey's house to the metro station, we can use the walking speed and the time it takes for the first part of the journey.

Let's calculate the distance from Andrey's house to the metro station: - Walking speed: 70 meters per minute (from the first part of the journey) - Time: 8 minutes

Distance = Walking speed * Time = 70 meters per minute * 8 minutes

Now, let's calculate the distance from Andrey's house to the metro station: - Distance = 560 meters

Therefore, the distance from Andrey's house to the metro station is 560 meters.

Answer

Andrey's entire journey takes approximately 11.43 minutes, and the distance from his house to the metro station is 560 meters.