Question

Из пунктов А и В, расстояние между которыми 920км, одновременно навстречу друг другу отправились два поезда, причём скорость одного из них на 10км/ч больше скорости другого. Через 5ч расстояние между поездами составило 70км. Найдите скорости поездов.

Answer 1

Х км/ч - скорость 1-ого поезда
(х+10) км/ч - скорость 2-го поезда
х+х+10=2х+10 км/ч - скорость сближения
(2х+10)*5=920-70
2х+10=850/5
2х+10=170
2х=160
х=80 (км/ч) - скорость 1-го поезда
80+10=90 (км/ч) - скорость 2-го поезда
Ответ: 80 км/ч, 90 км/ч.

Answer 2

Problem Analysis

We have two trains, A and B, traveling towards each other from points A and B, respectively. The distance between the two points is 920 km. The speed of one train is 10 km/h faster than the speed of the other train. After 5 hours, the distance between the trains is 70 km. We need to find the speeds of the two trains.

Solution

Let's assume the speed of the slower train is x km/h. Therefore, the speed of the faster train is (x + 10) km/h.

We can use the formula distance = speed × time to calculate the distances traveled by the two trains after 5 hours.

The distance traveled by the slower train is x km/h × 5 h = 5x km.

The distance traveled by the faster train is (x + 10) km/h × 5 h = 5(x + 10) km.

According to the problem, the sum of the distances traveled by the two trains is 920 km. Therefore, we can write the equation:

5x + 5(x + 10) = 920

Simplifying the equation:

5x + 5x + 50 = 920

10x + 50 = 920

10x = 870

x = 87

The speed of the slower train is 87 km/h.

The speed of the faster train is 87 + 10 = 97 km/h.

Therefore, the speeds of the two trains are 87 km/h and 97 km/h.

Answer

The speed of the slower train is 87 km/h, and the speed of the faster train is 97 km/h.