Question

Из городов А и В ,находяхщися на расстоянии 275 км друг от друга ,вышли одновременно в противоположных направлениях два поезда . Один из них шёл со скоростью 50 км /ч ,другой - со скоростью 75км /ч На каком расстоянии друг от друга будут эти поезда через 6 часов после начало движения?

Answer 1

50 + 75 = 125 (км/ч) - общая скорость поездов
125 × 6 = 750 (км) - прошли оба поезда за 6 ч
275 + 750 = 1025 (км) - расстояние между поездами
Ответ: 1025 км.

Answer 2

Problem Analysis

We are given two cities, A and B, which are 275 km apart. Two trains start simultaneously from these cities in opposite directions. One train travels at a speed of 50 km/h, while the other train travels at a speed of 75 km/h. We need to determine the distance between the trains after 6 hours.

Solution

To find the distance between the trains after 6 hours, we can calculate the total distance covered by both trains and subtract it from the initial distance between the cities.

Let's calculate the distance covered by each train in 6 hours:

- Train 1 (speed = 50 km/h): Distance covered = Speed × Time = 50 km/h × 6 h = 300 km - Train 2 (speed = 75 km/h): Distance covered = Speed × Time = 75 km/h × 6 h = 450 km

Now, let's calculate the distance between the trains after 6 hours:

- Total distance covered by both trains = Distance covered by Train 1 + Distance covered by Train 2 = 300 km + 450 km = 750 km - Distance between the trains after 6 hours = Initial distance between the cities - Total distance covered by both trains = 275 km - 750 km = -475 km

The distance between the trains after 6 hours is -475 km.

Please note that a negative distance indicates that the trains have passed each other and are now on opposite sides of their initial positions.

Answer

The distance between the trains after 6 hours will be -475 km.