Question

Решите задачу, пожалуйста. Из пунктов А и В выехали одновременно легковой автомобиль и мотоциклист. Мотоциклист остановился, проехав треть пути, и тронулся дальше лишь тогда, когда легковому автомобилю оставалось треть пути до В. Легковой автомобиль, доехав до В, без остановки поехал обратно в А. Мотоциклист больше остановок не делал. Кто приедет раньше: легковой автомобиль в А или мотоциклист в В. Если можно, то с чертежом.

Answer 1

Из этого следует заметить что машина тоесть авто едет в 2 раза быстрее и поэтому мотоциклу осталось проехать две трети но и машине надо было доехать всь путь - три трети машина раньше

Answer 2

Problem Analysis

We have a problem where a car and a motorcycle start simultaneously from points A and B, respectively. The motorcycle stops after traveling one-third of the distance and continues only when the car has one-third of the distance left to reach point B. The car, without stopping, travels back to point A after reaching point B. We need to determine who will arrive first: the car at point A or the motorcycle at point B.

Solution

Let's assume that the total distance between points A and B is represented by d.

1. The motorcycle stops after traveling one-third of the distance, which is d/3. 2. The car continues without stopping and reaches point B. 3. The car then travels back to point A without stopping. 4. The motorcycle continues its journey after the car has one-third of the distance left to reach point B, which is d/3.

To solve this problem, we need to compare the distances traveled by the car and the motorcycle.

Let's calculate the distances traveled by each:

- Car: - Distance from A to B: d - Distance from B to A: d

- Motorcycle: - Distance from A to stopping point: d/3 - Distance from stopping point to B: 2d/3

Now, let's compare the distances traveled:

- Car: d + d = 2d - Motorcycle: d/3 + 2d/3 = d

Since the motorcycle travels a shorter distance, it will arrive at point B before the car arrives at point A.

Conclusion

The motorcycle will arrive first at point B, while the car will arrive later at point A.

Please note that the above solution assumes that the car and motorcycle travel at a constant speed and that the distances mentioned in the problem are accurate.

I hope this helps! Let me know if you have any further questions.