Question

Восьмиклассник ходит в школу с постоянной скоростью 2 м/с. Однажды, выйдя вовремя, чтобы прийти к началу урока он решает вернуться домой ровно на половине пути от дома до школы, потому что забыл дневник. Бежит назад, а потом сразу в школу со скоростью 14,4 км/ч. Успеет ли он к началу урока?

Answer 1

Можно подставить величины, но это не обязательно.

Answer 2

Problem Analysis

The problem states that an eighth-grade student walks to school at a constant speed of 2 m/s. One day, the student realizes they forgot their diary halfway between home and school and decides to go back to get it. They run back home at a speed of 14.4 km/h and then immediately run back to school. The question is whether the student will make it to the start of the lesson on time.

Solution

To determine if the student will make it to the start of the lesson on time, we need to calculate the time it takes for the student to run back home and then back to school.

Let's calculate the time it takes for the student to run back home: - The distance from the school to the halfway point is half the total distance from home to school. - The student's speed is given in m/s, so we need to convert the speed from km/h to m/s.

Let's calculate the time it takes for the student to run back to school: - The distance from the halfway point to the school is also half the total distance from home to school. - The student's speed is given in km/h, so we need to convert the speed from km/h to m/s.

Finally, we compare the total time taken by the student to the time it takes to reach the start of the lesson.

Calculation

Given: - Student's walking speed: 2 m/s - Student's running speed: 14.4 km/h

To calculate the time it takes for the student to run back home: - Distance from home to halfway point: half the total distance from home to school - Speed: 14.4 km/h (convert to m/s)

To calculate the time it takes for the student to run back to school: - Distance from halfway point to school: half the total distance from home to school - Speed: 2 m/s

Solution Steps

1. Calculate the total distance from home to school. 2. Calculate the distance from home to the halfway point. 3. Calculate the time it takes for the student to run back home. 4. Calculate the time it takes for the student to run back to school. 5. Calculate the total time taken by the student. 6. Compare the total time taken by the student to the time it takes to reach the start of the lesson.

Let's perform the calculations step by step.

Calculation Steps

1. Calculate the total distance from home to school: - The student walks to school at a constant speed of 2 m/s. - The time taken to walk from home to school is not given. - Therefore, we cannot calculate the total distance from home to school without additional information.

Unfortunately, without the total distance from home to school, we cannot determine if the student will make it to the start of the lesson on time. Additional information is needed to solve the problem.

If you have any additional information or if there's anything else I can help you with, please let me know!