Question

Петя ходит в бассейн раз в 3 дня, Вася- раз в 4 дня, 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). Надо не только ответ, но и решение!

Answer 1

1) НОК{3,4,5} = 3*4*5 = 60 дней, через 60 дней они встретятся
2) 60 : 7 = 8 (остаток 4) будет пятница
Ответ: в пятницу, через 60 дней

Answer 2

Problem Analysis

To solve this problem, we need to find the least common multiple (LCM) of 3, 4, and 5 to determine after how many days they will meet again at the pool. Additionally, we need to find out which day of the week it will be when they meet again.

Solution

First, let's find the LCM of 3, 4, and 5: - LCM(3, 4, 5) = 60 Now, let's calculate when they will meet again: - Petya goes to the pool every 3 days. - Vasya goes to the pool every 4 days. - Kolya goes to the pool every 5 days.

To find the next meeting day, we need to find the smallest multiple of 60 that is greater than 1 (since they met on Monday).

60 ÷ 7 = 8 with a remainder of 4.

This means that after 60 days, they will meet on the same day of the week, which is Thursday.

Therefore, they will meet again after 60 days on a Thursday.

I hope this helps! If you have further questions, feel free to ask.