Question

Через час к станции с разных сторон одновременно подойдут два поезда. Один за час проходит 82 км, а другой за то же время проходит на 4 км меньше. На каком расстоянии поезда один от другого сейчас?

Answer 1

)82X1=82(км.) расстояние которое 1 поезд проедет до станции.
2)82-4=78(км/ч.) скорость 2 поезда.
3)78X1=78(км.) расстояние которое 2 поезд проедет до станции.
4)82+78=160(км.) между поездами сейчас.
Ответ:160 километров.

Answer 2

Problem Analysis

We are given that two trains approach a station from opposite directions at the same time. One train travels at a speed of 82 km/h, while the other train travels at a speed 4 km/h slower. We need to determine the distance between the two trains at the current moment.

Solution

Let's assume that the distance between the two trains at the current moment is x km.

The first train travels at a speed of 82 km/h, so in one hour, it will cover a distance of 82 km.

The second train travels at a speed 4 km/h slower, so its speed is 82 km/h - 4 km/h = 78 km/h. In one hour, it will cover a distance of 78 km.

Since the two trains are approaching each other, the total distance covered by both trains in one hour is equal to the sum of their individual distances. Therefore, we can write the equation:

82 km + 78 km = x km

Simplifying the equation, we have:

160 km = x km

Therefore, the distance between the two trains at the current moment is 160 km.

Answer

The trains are currently 160 km apart from each other.