Question

Помоги решить задачу товарный и пассажирский поезд вышли Одновременно навстречу друг другу Из двух городов расстояние между которыми 520 км товарный поезд шел со скоростью 56 км ч и прошел до встречи 224 км Какова скорость пассажирского поезда​

Answer 1

Ответ:

Пошаговое объяснение:

1)сколько км прошёл пассажирский до встречи?

520-224=296 км

2)через сколько часов поезда встретились?

224:56=4 часа

3)скорость пассажирского

296 :4=74 км/час

Answer 2

#### Problem Description Two trains, a freight train and a passenger train, start simultaneously from two cities and travel towards each other. The distance between the cities is 520 km. The freight train travels at a speed of 56 km/h and has traveled 224 km before the meeting. We need to find the speed of the passenger train. #### Solution To find the speed of the passenger train, we can use the concept of relative speed. When two objects are moving towards each other, their relative speed is the sum of their individual speeds. In this case, the relative speed of the freight train and the passenger train is the sum of their speeds. Let's denote the speed of the passenger train as **x** km/h. The relative speed of the two trains is the sum of their speeds: **56 km/h + x km/h = (56 + x) km/h** We know that the freight train has traveled 224 km before the meeting. The total distance between the two trains is 520 km. Therefore, the distance traveled by the passenger train before the meeting is: **520 km - 224 km = 296 km** We can use the formula **distance = speed * time** to find the time taken by the passenger train to cover the distance of 296 km: **296 km = (56 + x) km/h * time** To find the time, we can rearrange the equation: **time = 296 km / (56 + x) km/h** Now, we can substitute the value of time in the equation for distance traveled by the freight train: **224 km = 56 km/h * time** Substituting the value of time, we get: **224 km = 56 km/h * (296 km / (56 + x) km/h)** Simplifying the equation, we can solve for **x** to find the speed of the passenger train. Let's calculate the speed of the passenger train using the given values. #### Calculation Using the equation derived above, we can solve for **x**: 224 km = 56 km/h * (296 km / (56 + x) km/h) To solve for **x**, we can cross-multiply and simplify the equation: 224 km * (56 + x) km/h = 56 km/h * 296 km Simplifying further: (56 + x) km * 224 km/h = 56 km/h * 296 km Dividing both sides by 224 km/h: 56 + x = (56 km/h * 296 km) / 224 km/h Simplifying: 56 + x = 74 km Subtracting 56 from both sides: x = 74 km - 56 km x = 18 km/h #### Answer The speed of the passenger train is **18 km/h**. Please let me know if you need any further assistance!