Question

Трамвайный маршрут состоит из 10 остановок(включая конечные).В начале пути в трамвай село несколько пассажиров, а затем на каждой следующей остановке(кроме конечной) садилось по 10 человек.На первой остановке из трамвая вышло 6 человека,а затем на каждой следующей сходило на 2 человека больше,чем на предыдущей.На конечную станцию приехало 10 человек.Какое наибольшее количество пассажиров ехало в трамвае за все время пути?

Answer 1

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Answer 2

Tramway Passenger Problem

To solve this problem, we can use a systematic approach to calculate the maximum number of passengers that could have been on the tram at any point during the journey.

Given Information:

- Tramway route consists of 10 stops, including the terminal stops. - Initially, several passengers boarded the tram, and then at each subsequent stop (except the terminal stop), 10 people got on. - At the first stop, 6 people got off, and then at each subsequent stop, 2 more people got off than at the previous stop. - 10 people arrived at the terminal station.

Solution:

1. Let's start by calculating the number of people who got off at each stop. 2. Then, we can calculate the number of people who got on at each stop. 3. Finally, we will determine the maximum number of passengers on the tram at any point during the journey.

Calculations:

1. Number of people who got off at each stop: - First stop: 6 people got off. - Second stop: 6 + 2 = 8 people got off. - Third stop: 8 + 2 = 10 people got off. - Fourth stop: 10 + 2 = 12 people got off. - Fifth stop: 12 + 2 = 14 people got off. - Sixth stop: 14 + 2 = 16 people got off. - Seventh stop: 16 + 2 = 18 people got off. - Eighth stop: 18 + 2 = 20 people got off. - Ninth stop: 20 + 2 = 22 people got off. - Tenth stop (terminal station): 10 people arrived.

2. Number of people who got on at each stop: - Since 10 people got on at each stop (except the terminal stop), we can calculate the total number of people who got on the tram.

3. Maximum number of passengers on the tram: - To find the maximum number of passengers on the tram at any point during the journey, we need to consider the initial passengers who boarded the tram and subtract the total number of people who got off from the total number of people who got on.

Conclusion:

The maximum number of passengers on the tram at any point during the journey can be calculated using the given information and the systematic approach outlined above. Let's calculate the maximum number of passengers on the tram.