Question

с двух станции , расстояние между которыми равно 142км , одновременно в противоположных направлениях отправились два поезда. через 5 часов они сделали остановку. оказалось, что один из поездов проехал 325 км и расстояние между ними стало равно 842км найди скорость другого поезда

Answer 1

Problem Analysis

We have two trains that start simultaneously from two stations that are 142 km apart. After 5 hours, they make a stop, and it is found that one of the trains has traveled 325 km, and the distance between them has become 842 km. We need to find the speed of the other train.

Solution

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

We know that the distance traveled by the first train is 325 km, and the distance between the trains after the stop is 842 km. So, the distance traveled by the second train is 842 km - 325 km = 517 km.

We can use the formula distance = speed × time to calculate the time taken by each train.

For the first train: - Distance = 325 km - Time = 5 hours - Speed = x km/h

For the second train: - Distance = 517 km - Time = 5 hours - Speed = y km/h

Using the formula, we can write the following equations:

325 = x × 5 (Equation 1)

517 = y × 5 (Equation 2)

Solving these equations will give us the values of x and y, which represent the speeds of the two trains.

Calculation

Let's solve the equations to find the values of x and y.

From Equation 1, we have:

325 = 5x

Dividing both sides by 5, we get:

x = 65

From Equation 2, we have:

517 = 5y

Dividing both sides by 5, we get:

y = 103

Answer

The speed of the first train is 65 km/h, and the speed of the second train is 103 km/h.

Please let me know if you need any further assistance.