Question

Первый поезд преодолевает путь между двумя городами за 2,5 часов , а второй - за 3,5 часов. Скорость первого поезда больше скорости второго на 24 км/час Найдите скорость каждого поезда и расстояние между городами.

Answer 1

 2.5 * 24=60 
3.5*24=84
84-24=60
ответ между городами 60 км

Answer 2

Problem Analysis

We are given that the first train completes the distance between two cities in 2.5 hours, while the second train completes the same distance in 3.5 hours. The speed of the first train is 24 km/h faster than the speed of the second train. We need to find the speed of each train and the distance between the cities.

Solution

Let's assume the speed of the second train is x km/h. Since the speed of the first train is 24 km/h faster, the speed of the first train can be represented as x + 24 km/h.

We can use the formula speed = distance / time to find the distance between the cities.

For the first train: - Speed = x + 24 km/h - Time = 2.5 hours

For the second train: - Speed = x km/h - Time = 3.5 hours

Using the formula, we can write the following equations:

Equation 1: (x + 24) = distance / 2.5

Equation 2: x = distance / 3.5

To find the distance, we can equate the right sides of the equations:

(distance / 2.5) = (distance / 3.5)

Simplifying the equation, we get:

3.5 * distance = 2.5 * distance + 24 * 2.5

0.5 * distance = 60

distance = 60 / 0.5

distance = 120 km

Now that we have the distance, we can substitute it back into one of the equations to find the speeds of the trains.

Using Equation 1:

(x + 24) = 120 / 2.5

(x + 24) = 48

x = 48 - 24

x = 24 km/h

The speed of the first train is 24 + 24 = 48 km/h and the speed of the second train is 24 km/h. The distance between the cities is 120 km.

Answer

The speed of the first train is 48 km/h, the speed of the second train is 24 km/h, and the distance between the cities is 120 km.