Question

Петя ходит в бассейн раз в 3 дня Вася раз в 4 дня а Коля Раз в 5 дней в понедельник они встретились в бассейне Через сколько дней они встретятся снова Какой это будет день недели бассейн работает все дни недели Запиши решение и ответ дам 25 баллов

Answer 1

Пройдет 60 дней, но встреча произойдет на 61 день в пятницу, так как с момента встречи понедельник 1 день, и пройдет 60 дней 8 недель и 4 дня, а следующий день пятница день встречи!

Answer 2

3*4*5=60
Встретятся через 60 дней.
60:7=8(ост.4),
прибавим к понедельнику 4 дня, получим пятницу.
ответ_пятница

Answer 3

Calculating the Next Meeting at the Pool

To calculate when Petya, Vasya, and Kolya will meet again at the pool, we need to find the least common multiple (LCM) of their respective swimming schedules.

Petya goes to the pool every 3 days. Vasya goes to the pool every 4 days. Kolya goes to the pool every 5 days.

Finding the Least Common Multiple (LCM)

The LCM of 3, 4, and 5 can be calculated using various methods, such as prime factorization or the method of listing multiples. Let's use the method of listing multiples to find the LCM.

The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ... The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, ... The multiples of 5 are: 5, 10, 15, 20, 25, 30, ...

The least common multiple (LCM) of 3, 4, and 5 is 60.

Determining the Next Meeting Day

Since they met on a Monday, we can calculate when they will meet again by adding the LCM (60 days) to the current day of the week.

60 days after Monday is Saturday.

Therefore, Petya, Vasya, and Kolya will meet again at the pool in 60 days, which will be on a Saturday.

So, the next time they will meet at the pool will be in 60 days on a Saturday.