Question

Из двух городов, расстояние между которыми 700 км, вышли одновременно навстречу друг другу два поезда. Скорость одного поезда 45 км/ч. Определите скорость другого поезда, если они встретились через 5 часов.

Answer 1

1) 45 х 5 = 225 км проехал 1 поезд до встречи
2) 700 - 225 = 475 км проехал 2 поезд до встречи
3) 475 : 5 = 95 км/час скорость 2 поезда

Answer 2

1) 700:5=140(км/ч) скорость обоих поездов
2) 140-45=95(км/ч) скорость второго поезда
Ответ: 95 км/ч

Answer 3

Problem Analysis

We have two trains traveling towards each other from two different cities. The distance between the cities is 700 km. One train is traveling at a speed of 45 km/h. We need to determine the speed of the other train if they meet after 5 hours.

Solution

To solve this problem, we can use the formula: distance = speed × time.

Let's assume the speed of the second train is x km/h.

The first train travels for 5 hours at a speed of 45 km/h, so the distance it covers is: distance1 = speed1 × time = 45 km/h × 5 h = 225 km.

The second train also travels for 5 hours, but we don't know its speed yet, so the distance it covers is: distance2 = speed2 × time = x km/h × 5 h = 5x km.

Since the two trains are traveling towards each other, the sum of the distances covered by both trains should be equal to the total distance between the cities, which is 700 km: distance1 + distance2 = 700 km.

Substituting the values of distance1 and distance2, we get: 225 km + 5x km = 700 km.

Now we can solve this equation to find the value of x, which represents the speed of the second train.

Calculation

Let's solve the equation: 225 km + 5x km = 700 km.

Subtracting 225 km from both sides of the equation, we get: 5x km = 700 km - 225 km.

Simplifying the right side of the equation, we have: 5x km = 475 km.

Dividing both sides of the equation by 5, we get: x km = 475 km / 5.

Calculating the value of x, we find: x = 95 km/h.

Answer

Therefore, the speed of the second train is 95 km/h.