Question

Два поезда выехали одновременно навстречу друг другу со станций, находящихся на расстоянии 660 км. один поезд движется со скоростью 40 км/ч, другой - 70 км/ч. через сколько часов поезда встретятся? на каком расстоянии от каждой из станций отправления произойдет встреча?

Answer 1

40+70=110 км в ч скорость сближения
660:110=6 ч будут в пути до встречи
40*6=240 км пройдет 1-й
70*6=420 км пройдет второй

Answer 2

1) 70+40=110(км/ч) - 1 и 2 поезд
2) 660:110=6(ч) - через 6 часов

Answer 3

Problem Analysis

We are given two trains that start simultaneously from two different stations and are moving towards each other. The distance between the stations is 660 km. The first train is traveling at a speed of 40 km/h, and the second train is traveling at a speed of 70 km/h. We need to determine how many hours it will take for the trains to meet and at what distance from each station the meeting will occur.

Solution

To find the time it takes for the trains to meet, we can use the formula:

Time = Distance / Relative Speed

The relative speed of the two trains is the sum of their individual speeds. Let's calculate the time it takes for the trains to meet:

Relative Speed = 40 km/h + 70 km/h = 110 km/h

Time = 660 km / 110 km/h = 6 hours.

Therefore, the trains will meet after 6 hours.

To find the distance from each station where the meeting occurs, we can multiply the speed of each train by the time it takes for the trains to meet:

Distance from the first station = Speed of the first train * Time = 40 km/h * 6 hours = 240 km

Distance from the second station = Speed of the second train * Time = 70 km/h * 6 hours = 420 km

Therefore, the meeting will occur at a distance of 240 km from the first station and 420 km from the second station.

Answer

The trains will meet after 6 hours. The meeting will occur at a distance of 240 km from the first station and 420 km from the second station.