
Два электропоезда отправились от двух станций навстречу друг другу. Через 3 мин расстояние между
ними стало 7 км. Найдите расстояние между станциями, если скорость первого электропоезда 60 км/ч, а скорость второго — 80 км/ч?

Ответы на вопрос







Problem Analysis
We are given that two trains start from two different stations and are heading towards each other. After 3 minutes, the distance between them is 7 km. We are also given the speeds of the two trains: the first train is traveling at 60 km/h, and the second train is traveling at 80 km/h. We need to find the distance between the two stations.Solution
Let's assume that the distance between the two stations is x km.We can calculate the distance covered by the first train in 3 minutes (0.05 hours) using the formula: distance = speed × time. The speed of the first train is 60 km/h, and the time is 0.05 hours. Therefore, the distance covered by the first train is 60 × 0.05 = 3 km.
Similarly, we can calculate the distance covered by the second train in 3 minutes (0.05 hours). The speed of the second train is 80 km/h, and the time is 0.05 hours. Therefore, the distance covered by the second train is 80 × 0.05 = 4 km.
After 3 minutes, the total distance covered by both trains is 3 km + 4 km = 7 km, as given in the problem.
Now, we can set up an equation to solve for the distance between the two stations:
x = distance covered by the first train + distance covered by the second train
x = 3 km + 4 km
x = 7 km
Therefore, the distance between the two stations is 7 km.
Answer
The distance between the two stations is 7 km.

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