Question

Два городских автобуса отправились в путь с одной и той же остановки в 7 часов утра. Один из автобусов возвращается на эту остановку через каждые 35 минут, а другой - через каждые 45 минут. В котором часу эти автобусы снова встретились на остановке отправления? Сколько кругов сделал к этому времени каждый автобус?

Answer 1

Тут не очень понятно совсем даже

Answer 2

45 = 3*3*5
35 = 5*7 3*3*5*7 = 315 мин

07:00 + 315мин = 12:15. 7и 9 кругов

Answer 3

Problem Analysis

We have two city buses that depart from the same stop at 7:00 AM. One bus returns to the stop every 35 minutes, while the other bus returns every 45 minutes. We need to determine at what time the buses meet again at the departure stop and how many rounds each bus has completed by that time.

Solution

To find the time at which the buses meet again, we need to find the least common multiple (LCM) of 35 and 45. The LCM will give us the time at which both buses will be at the departure stop simultaneously.

To find the number of rounds completed by each bus, we can divide the total time by the interval at which each bus returns to the stop.

Let's calculate the time and the number of rounds for each bus.

Calculation

The LCM of 35 and 45 is 315 minutes.

To convert the time to hours, we divide 315 minutes by 60, which gives us 5 hours and 15 minutes.

Therefore, the buses will meet again at 12:15 PM.

Now, let's calculate the number of rounds completed by each bus.

The first bus returns to the stop every 35 minutes. By the time the buses meet again at 12:15 PM, the first bus will have completed 12:15 PM - 7:00 AM = 5 hours and 15 minutes.

To calculate the number of rounds, we divide the total time by the interval at which the bus returns to the stop: **