Question

Петя ходит в бассейн раз в 3 дня. Вася -раз в 4 дня, а Коля - раз в 5 дней. В понедельник они снова встретились в бассейне. Через сколько дней они встретятся снова? Какой это будет день недели? (Бассейн работает все дни недели). Решение и ответ, пожалуйста.

Answer 1

Пройдёт 60 дней но встреча произойдёт на 61 день в пятницу так как с момента встречи понедельник 1 день и пройдёт 60 дней 8 недель и 4 дня а следуйщий день пятница день встречи

Answer 2

Problem Analysis

We are given that Petya goes to the pool every 3 days, Vasya goes every 4 days, and Kolya goes every 5 days. We need to determine how many days it will take for them to meet again at the pool and what day of the week it will be.

Solution

To find the number of days it will take for them to meet again, we need to find the least common multiple (LCM) of the numbers 3, 4, and 5. The LCM is the smallest number that is divisible by all three numbers.

The LCM of 3, 4, and 5 is 60. Therefore, they will meet again after 60 days.

To determine the day of the week when they will meet again, we need to consider the current day of the week. Since today is Monday, we can count 60 days from Monday to find the day of the week when they will meet again.

Calculation

Starting from Monday, we count 60 days: - Monday - Tuesday - Wednesday - Thursday - Friday - Saturday - Sunday - Monday - Tuesday - Wednesday - Thursday - Friday - Saturday - Sunday - Monday - Tuesday - Wednesday - Thursday - Friday - Saturday - Sunday - Monday - Tuesday - Wednesday - Thursday - Friday - Saturday - Sunday - Monday - Tuesday - Wednesday - Thursday - Friday - Saturday - Sunday - Monday - Tuesday - Wednesday - Thursday - Friday - Saturday - Sunday - Monday - Tuesday - Wednesday - Thursday - Friday - Saturday - Sunday - Monday - Tuesday - Wednesday - Thursday - Friday - Saturday - Sunday - Monday - Tuesday - Wednesday - Thursday - Friday - Saturday - Sunday - Monday - Tuesday - Wednesday - Thursday - Friday - Saturday - Sunday - Monday - Tuesday - Wednesday - Thursday - Friday - Saturday - Sunday - Monday - Tuesday - Wednesday - Thursday - Friday - Saturday - Sunday - Monday

Therefore, they will meet again after 60 days, and it will be a Monday.

Answer

They will meet again after 60 days, and it will be a Monday.