Question

Даю 40 баллов! Помогите, пожалуйста! У меня получаеться 7, 9 и 12, не знаю, верно ли? Орест и Ульяна каждый день встречаются на одной и той же трамвайной остановке в одно и то же время. Известно, что трамваи курсируют равномерно с постоянными интервалами. Графики движения каждый день одинаковые. В среду Орест пришел на остановку раньше, чем Ульяна на 12 мин и 10 с, а Ульяна пришла своевременно. За это время мимо мальчика прошло 5 трамваев. В четверг Орест пришел вовремя, а Ульяна опоздала на 20 мин. За это время мимо него прошло 5 трамваев. В пятницу Ульяна пришла своевременно, а Орест на полчаса раньше запланированного. Сколько он мог увидеть трамваев, которые прошли мимо?

Answer 1

Все правильно)))))))

Answer 2

Problem Analysis

We are given information about Orest and Ulyana, who meet at the same tram stop every day at the same time. The trams run at regular intervals, and the schedules are the same every day. We are given specific details about their arrivals and the number of trams that pass by during their wait. We need to determine how many trams Orest could have seen passing by on different days.

Wednesday's Scenario

On Wednesday, Orest arrived at the tram stop 12 minutes and 10 seconds before Ulyana, and during this time, 5 trams passed by. Ulyana arrived on time.

To determine how many trams Orest could have seen, we need to consider the time it takes for one tram to pass by. If we assume that the trams run at regular intervals, we can divide the time Orest arrived early by the time it takes for one tram to pass by. This will give us the number of trams that passed by during Orest's wait.

Let's calculate the number of trams Orest could have seen on Wednesday.

Calculation for Wednesday

Given: - Orest arrived 12 minutes and 10 seconds before Ulyana. - 5 trams passed by during this time.

To calculate the number of trams Orest could have seen, we need to determine the time it takes for one tram to pass by. We can do this by dividing the time Orest arrived early by the number of trams that passed by.

Let's convert the time Orest arrived early to seconds for easier calculations:

12 minutes and 10 seconds = 12 * 60 + 10 = 730 seconds

Now, let's calculate the time it takes for one tram to pass by:

Time for one tram = Time Orest arrived early / Number of trams that passed by Time for one tram = 730 seconds / 5 trams Time for one tram = 146 seconds

Therefore, Orest could have seen 5 trams passing by on Wednesday.

Thursday's Scenario

On Thursday, Orest arrived on time, but Ulyana was 20 minutes late. During this time, 5 trams passed by.

Since Orest arrived on time, he did not have any extra waiting time. Therefore, the number of trams he could have seen passing by is 0.

Friday's Scenario

On Friday, Ulyana arrived on time, but Orest arrived 30 minutes earlier than planned. We need to determine how many trams Orest could have seen during this time.

To calculate the number of trams Orest could have seen, we can follow the same approach as we did for Wednesday.

Let's calculate the number of trams Orest could have seen on Friday.

Calculation for Friday

Given: - Orest arrived 30 minutes earlier than planned.

To calculate the number of trams Orest could have seen, we need to determine the time it takes for one tram to pass by. We can do this by dividing the time Orest arrived early by the time it takes for one tram to pass by.

Let's convert the time Orest arrived early to seconds for easier calculations:

30 minutes = 30 * 60 = 1800 seconds

Now, let's calculate the time it takes for one tram to pass by:

Time for one tram = Time Orest arrived early / Number of trams that passed by Time for one tram = 1800 seconds / 5 trams Time for one tram = 360 seconds

Therefore, Orest could have seen 5 trams passing by on Friday.

Summary

Based on the given information, Orest could have seen: - 5 trams passing by on Wednesday. - 0 trams passing by on Thursday. - 5 trams passing by on Friday.

Please let me know if you need any further assistance!