Question

СРОЧНО! 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.)

Answer 1

3*4*5=60 Мальчики встретятся через 60 дней, 60/7(количество дней недели)=8(остаток 4),тогда так как понедельник первый день недели прибавим 1+4=5,пятый день недели это пятница,то есть они встретятся в пятницу

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. They all met at the pool on Monday. We need to determine how many days it will take for them to meet again and which 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 3, 4, and 5. The LCM is the smallest number that is divisible by all three numbers.

To find the day of the week when they will meet again, we can use the fact that the days of the week repeat in a cycle of 7.

Let's calculate the LCM of 3, 4, and 5 to find the number of days it will take for them to meet again.

Calculation

The LCM of 3, 4, and 5 is 60.

To find the day of the week when they will meet again, we can divide 60 by 7 and find the remainder. The remainder will tell us which day of the week it will be.

60 divided by 7 is 8 with a remainder of 4. This means that after 60 days, they will meet again on the 4th day of the week.

Answer

They will meet again after 60 days, and it will be the 4th day of the week.

Note: The calculation assumes that the pool is open every day of the week.