Question

Заряжаеться элеватора в 8:00 утра разных направлениях на Элеватор первая машина возвращается через каждые 3 часа 2 через 4 часа 3 через 6:00 в котором часу машины встретиться на элеваторе если их движение выполняется по графику

Answer 1

Машины встретятся через 12 часов. Это будет в 8 часов вечера

Answer 2

Problem Analysis

The problem states that elevators are charging in different directions at 8:00 am. The first car returns every 3 hours, the second car returns every 4 hours, and the third car returns every 6 hours. We need to determine at what time the cars will meet at the elevator if they follow this schedule.

Solution

To solve this problem, we can find the least common multiple (LCM) of the time intervals at which each car returns. The LCM will give us the time at which all three cars will meet at the elevator.

The time intervals at which each car returns are: - Car 1: Every 3 hours - Car 2: Every 4 hours - Car 3: Every 6 hours

To find the LCM, we can list the multiples of each time interval until we find a common multiple.

Finding the LCM

Let's find the LCM of the time intervals for each car:

- Car 1: Every 3 hours - Multiples: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ... - Car 2: Every 4 hours - Multiples: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ... - Car 3: Every 6 hours - Multiples: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...

From the lists above, we can see that the first common multiple is 12. Therefore, the cars will meet at the elevator every 12 hours.

Calculating the Meeting Time

Since the cars start charging at 8:00 am, we need to find the next multiple of 12 hours after 8:00 am.

- 8:00 am + 12 hours = 8:00 pm - 8:00 pm + 12 hours = 8:00 am (next day)

Therefore, the cars will meet at the elevator at 8:00 am the next day.

Answer

The cars will meet at the elevator at 8:00 am the next day if their movement is following the given schedule.

Conclusion

In this problem, we determined the meeting time for three cars charging at an elevator at different intervals. By finding the least common multiple (LCM) of the time intervals, we found that the cars will meet at the elevator every 12 hours. Starting from 8:00 am, the next meeting time will be at 8:00 am the next day.