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 время от времени он обгоняет второго. Шестой обгон случился через 44 минуты после старта. Через сколько минут после шестого обгона случится седьмой обгон? Ответ дайте в минутах.

Answer 1

Ответ:

мне кажется примерно через 7 минут

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 overtaking the other at regular intervals. We are given that the sixth overtaking occurs 44 minutes after the start. We need to find out how many minutes after the sixth overtaking the seventh overtaking will occur.

Solution

Let's assume that the faster cyclist completes one lap in time T minutes, and the slower cyclist completes one lap in time S minutes. Since the faster cyclist overtakes the slower cyclist, the time taken for the faster cyclist to complete one lap is less than the time taken for the slower cyclist to complete one lap.

We are given that the sixth overtaking occurs 44 minutes after the start. This means that the faster cyclist completes 6 laps in 44 minutes. Therefore, the time taken for the faster cyclist to complete one lap is 44/6 minutes.

To find the time taken for the slower cyclist to complete one lap, we can use the fact that the ratio of their speeds is the inverse of the ratio of their lap times. Let's assume the speed of the faster cyclist is