Question

От станции отошел поезд со скоростью 62 км/ч. Через 5 часов с той же станции в противоположном направлении вышел другой поезд со скоростью 58м/ч. Через какое время после выхода первого поезда расстояние между ними составит 670 км ?

Answer 1

62·5=310 км расстояние который проехал первый поезд
670-310=360 км
62+58=120км/ч
360/120=3 часа
5+3=8 часов
Ответ: 8 часов после выхода первого поезда расстояние между ними составит 670км

Answer 2

1)62*5=310(км)-успел проехать первый поезд
2)62+58=120(км/ч)-общая скорость
3)670-310=360(км)-проедут вместе
4)360:120=3(ч)- проедут вместе
5)3+5=8(ч)-расстояние составит 670 км

Answer 3

Problem Analysis

We are given two trains that depart from the same station in opposite directions. The first train has a speed of 62 km/h, and the second train has a speed of 58 km/h. We need to determine the time it takes for the distance between the two trains to reach 670 km.

Solution

Let's assume that the time it takes for the distance between the two trains to reach 670 km is t hours.

The distance covered by the first train in t hours can be calculated using the formula: distance = speed * time. Therefore, the distance covered by the first train is 62t km.

Similarly, the distance covered by the second train in t hours is 58t km.

The sum of the distances covered by both trains should be equal to 670 km. Therefore, we can write the equation:

62t + 58t = 670

Simplifying the equation:

120t = 670

Dividing both sides of the equation by 120:

t = 670 / 120

Calculating the value of t:

t = 5.58 hours

Therefore, it will take approximately 5.58 hours for the distance between the two trains to reach 670 km.

Answer

After the first train departs from the station, it will take approximately 5.58 hours for the distance between the two trains to reach 670 km.

Please note that the above solution assumes constant speeds for both trains and does not take into account any factors such as acceleration or deceleration.