Question

Из двух диаметрально противоположных точек кругового трека стартовали ( в одном направлении) два велосипедиста. Они едут с постоянными скоростями, при этом скорость у одного из велосипедистов больше, поэтому у время от времени он обгоняет второго. Шестой обгон случился через 44 минуты после старта. Через сколько минут после шестого обгона случится седьмой обгон?

Answer 1

Ответ:

следующий обгон случится через 51,3 минуты

Answer 2

Problem Analysis

We have two cyclists starting from diametrically opposite points on a circular track. They are moving in the same direction, with one cyclist having a higher speed than the other. The faster cyclist occasionally overtakes the slower cyclist. We are given that the sixth overtaking occurs 44 minutes after the start. We need to determine how many minutes after the sixth overtaking the seventh overtaking will occur.

Solution

To solve this problem, we need to understand the relationship between the number of overtakings and the time it takes for each overtaking to occur. Let's break down the problem step by step:

1. The sixth overtaking occurs 44 minutes after the start. This means that the faster cyclist overtakes the slower cyclist for the sixth time after 44 minutes of cycling.

2. Since the faster cyclist overtakes the slower cyclist, it means that the faster cyclist completes one full lap more than the slower cyclist during this time.

3. The time it takes for the faster cyclist to complete one full lap more than the slower cyclist is the same as the time it takes for the slower cyclist to complete one lap.

4. Therefore, the time it takes for each overtaking to occur is equal to the time it takes for the slower cyclist to complete one lap.

5. To find the time it takes for each overtaking, we need to know the speeds of the two cyclists.

6. Unfortunately, the speeds of the cyclists are not provided in the problem statement. Without this information, we cannot determine the time it takes for each overtaking to occur.

7. Therefore, we cannot determine how many minutes after the sixth overtaking the seventh overtaking will occur without knowing the speeds of the cyclists.

Conclusion

Without knowing the speeds of the two cyclists, we cannot determine how many minutes after the sixth overtaking the seventh overtaking will occur. The problem statement does not provide enough information to solve the problem.