
В одном городе два вокзала северный южный расстояние между которыми 15 км одновременно с этих
вокзалов выехали в противоположных направления два поездом ные поезд шел со скоростью 45 км час и через четыре часа приехал в город с южный поезд проехал 212 км приехал в город Ю каково расстояние Каково расстояние между городами

Ответы на вопрос




Problem Analysis
We have two train stations, the North station and the South station, with a distance of 15 km between them. Two trains simultaneously departed from these stations in opposite directions. One train traveled at a speed of 45 km/h and arrived in a city after four hours. The other train traveled a distance of 212 km and arrived in the same city. We need to find the distance between the two cities.
Solution
Let's break down the information given in the problem:
- Distance between the North and South stations: 15 km - Speed of one train: 45 km/h - Time taken by one train to reach the city: 4 hours - Distance traveled by the other train: 212 km
To find the distance between the two cities, we can use the formula:
Distance = Speed × Time
Let's calculate the time taken by the first train to reach the city:
Time = Distance / Speed = 212 km / 45 km/h
Now, let's calculate the distance traveled by the first train:
Distance = Speed × Time = 45 km/h × (212 km / 45 km/h)
Finally, let's calculate the distance between the two cities:
Distance between the cities = Distance traveled by the first train + Distance between the stations
Calculation
Using the given values, we can calculate the distance between the two cities:
Time taken by the first train = 212 km / 45 km/h = 4.71 hours
Distance traveled by the first train = 45 km/h × 4.71 hours = 212 km
Distance between the cities = 212 km + 15 km = 227 km
Therefore, the distance between the two cities is 227 km.
Answer
The distance between the two cities is 227 km.


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