Question

Влад идёт из дома в школу. Ровно посередине пути находится музей, мимо которого Влад прошёл в 7:45. А ровно посередине между школой и музеем есть кафе. Когда Влад проходил мимо кафе, часы показывали 08:00. Во сколько Влад пришёл в школу, если весь путь он шёл с одинаковой скоростью?

Answer 1

Вот я зделала так,..........

Answer 2

Problem Analysis

Vlad is walking from home to school, and there is a museum located exactly halfway along the way. Vlad passed by the museum at 7:45, and there is a cafe located exactly halfway between the school and the museum. When Vlad passed by the cafe, the clock showed 08:00. We need to determine at what time Vlad arrived at school, assuming he walked at a constant speed throughout the entire journey.

Solution

To solve this problem, we need to determine the time it took Vlad to walk from the museum to the cafe and from the cafe to the school. Since Vlad walked at a constant speed, the time it took him to walk each segment is proportional to the distance he traveled.

Let's assume that the distance from the museum to the cafe is x, and the distance from the cafe to the school is also x. Since the museum is located exactly halfway between the home and the school, the total distance from the home to the school is 2x.

We know that Vlad passed by the museum at 7:45 and the cafe at 08:00. This means that it took him 15 minutes to walk from the museum to the cafe. Since the distance from the museum to the cafe is x, we can calculate Vlad's walking speed as x/15 minutes.

Now, let's calculate the time it took Vlad to walk from the cafe to the school. Since the distance from the cafe to the school is also x, and Vlad's walking speed is x/15 minutes, the time it took him to walk from the cafe to the school is x/(x/15) = 15 minutes.

Therefore, the total time it took Vlad to walk from the museum to the school is 15 minutes + 15 minutes = 30 minutes.

Since Vlad passed by the cafe at 08:00, and it took him 30 minutes to walk from the museum to the school, we can calculate the time he arrived at school as 08:00 + 30 minutes = 08:30.

Therefore, Vlad arrived at school at 08:30.

Conclusion

Vlad arrived at school at 08:30. He walked at a constant speed from the museum to the cafe and from the cafe to the school, taking a total of 30 minutes for the entire journey.

Please let me know if there is anything else I can help you with!