Question

Три велосипедиста одновременно стартовали по круговой дорожке. Первый делает полный круг за 21 мин, второй – за 35 мин, а третий – за 15 мин. Через сколько минут они ещё раз окажутся вместе на старте? Дайте ответ в минутах.

Answer 1

НОК=105 => 105/15=7 (минут)

Answer 2

Problem Analysis

We have three cyclists who start simultaneously on a circular track. We need to determine how many minutes it will take for them to be together at the starting point again.

Solution

To find the time it takes for the three cyclists to be together at the starting point again, we need to find the least common multiple (LCM) of their individual times to complete one lap around the track.

Let's calculate the LCM of the three given times: 21 minutes, 35 minutes, and 15 minutes.

The LCM of 21, 35, and 15 is 105 minutes.

Therefore, the three cyclists will be together at the starting point again after 105 minutes.

Answer

The three cyclists will be together at the starting point again after 105 minutes.