
С двух станций , расстояние между которыми 720 км, вышли одновременно навстречу друг другу два
поезда. Скорость первого поезда 75 км/ч, а скорость второго на 10 км/ч больше. На каком расстоянии друг от друга будут поезда через 4 часа?

Ответы на вопрос




Problem Analysis
We have two trains traveling towards each other from two different stations. The distance between the stations is 720 km. The first train is traveling at a speed of 75 km/h, while the second train is traveling at a speed 10 km/h faster than the first train. We need to determine the distance between the trains after 4 hours.Solution
To find the distance between the trains after 4 hours, we need to calculate the total distance covered by both trains in 4 hours and subtract it from the initial distance of 720 km.Let's calculate the distance covered by each train in 4 hours.
The distance covered by the first train in 4 hours can be calculated using the formula:
Distance = Speed x Time
For the first train: - Speed = 75 km/h - Time = 4 hours
Distance covered by the first train = 75 km/h x 4 hours = 300 km.
The speed of the second train is 10 km/h faster than the first train, so the speed of the second train is 75 km/h + 10 km/h = 85 km/h.
Using the same formula, we can calculate the distance covered by the second train in 4 hours:
Distance covered by the second train = 85 km/h x 4 hours = 340 km.
Now, let's calculate the distance between the trains after 4 hours:
Distance between the trains = Initial distance - (Distance covered by the first train + Distance covered by the second train).
Distance between the trains = 720 km - (300 km + 340 km) = 720 km - 640 km = 80 km.
Therefore, the distance between the trains after 4 hours will be 80 km.
Answer
The distance between the two trains after 4 hours will be 80 km.

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