Question

Помогите плиз!!Расстояние между городами А и Б равно 1060 км. Из города А отправился поезд со скоростью 40 км/ч, а через 4 ч навстречу ему отправился поезд из города Б со скоростью 50 км/ч. Через сколько часов после отправления второго поезда и на каком расстоянии от города А встретятся эти поезда?

Answer 1

1) 40*4=160 км проехал первый поезд за 4 часа
2) 1060-160=900 км осталось проехать
3.  50+40=90- скорость сближения
4) 900:90 =10 часов   через столько они встретятся
5) 50*10=500 км проедет второй поезд
6) 1060-500=560 км - расстояние от города А

Answer 2

Problem Analysis

We are given the distance between two cities, A and B, which is 1060 km. A train departs from city A at a speed of 40 km/h, and after 4 hours, another train departs from city B towards city A at a speed of 50 km/h. We need to determine how many hours after the departure of the second train the two trains will meet, and at what distance from city A this meeting will occur.

Solution

To solve this problem, we can use the formula:

Distance = Speed × Time

Let's denote the time it takes for the two trains to meet as 't'. The distance traveled by the first train in 't' hours is 40t km, and the distance traveled by the second train in 't - 4' hours is 50(t - 4) km.

Since the total distance between the two cities is 1060 km, we can set up the following equation:

40t + 50(t - 4) = 1060

Now, let's solve this equation to find the value of 't'.

Calculation

40t + 50(t - 4) = 1060

Simplifying the equation:

40t + 50t - 200 = 1060 90t - 200 = 1060 90t = 1260 t = 1260 / 90 t = 14

The two trains will meet after 14 hours.

To find the distance from city A where the meeting occurs, we can substitute the value of 't' into the equation for the distance traveled by the first train:

Distance = Speed × Time Distance = 40 × 14 Distance = 560 km

The two trains will meet 560 km from city A.

Answer

The two trains will meet after 14 hours and at a distance of 560 km from city A.

Note: The calculations and solution provided above are based on the information given in the problem statement.