Question

Поезд отправился со станции в 16 ч со скоростью 54 км/ч. В 19 ч с этой же станции в противоположном направлении отправился второй поезд. В 24 ч расстояние между ними было равно 642 км.С какой скоростью двигался второй поезд Помогите очень нужно!

Answer 1

24-16=8ч. время в пути первого поезда
24-19=5ч. время в пути второго поезда
S=V*t     S=54*8=432 км. проехал первый поезд
642-432=210 км. проехал второй поезд
V=S/t   V=210:5=42км/ч. скорость второго поезда ---  это ответ  

Answer 2

Problem Analysis

We have two trains that departed from the same station at different times and traveled in opposite directions. The distance between them after a certain amount of time is given, and we need to find the speed of the second train.

Given Information

- The first train departed from the station at 16:00 with a speed of 54 km/h. - The second train departed from the same station in the opposite direction at 19:00. - At 24:00, the distance between the two trains was 642 km.

Solution

To find the speed of the second train, we need to determine the time it took for the second train to cover the distance between the two trains.

Let's assume that the second train traveled for 't' hours from 19:00 to 24:00. During this time, the first train also traveled for 't' hours from 16:00 to 19:00.

The distance covered by the first train in 't' hours can be calculated using the formula: distance = speed * time.

The distance covered by the second train in 't' hours can also be calculated using the same formula.

Since the total distance between the two trains is given as 642 km, we can write the equation:

(distance covered by the first train) + (distance covered by the second train) = 642 km.

Let's calculate the distance covered by each train:

- Distance covered by the first train = speed of the first train * time taken by the first train = 54 km/h * t hours. - Distance covered by the second train = speed of the second train * time taken by the second train = speed of the second train * t hours.

Substituting these values into the equation, we get:

54 km/h * t hours + (speed of the second train) * t hours = 642 km.

Simplifying the equation, we have:

t * (54 km/h + speed of the second train) = 642 km.

Now we can solve this equation to find the value of 't' and then calculate the speed of the second train.

Let's solve the equation step by step:

1. Subtract 54 km/h from both sides of the equation:

t * (speed of the second train) = 642 km - 54 km/h * t hours.

2. Divide both sides of the equation by 't':

speed of the second train = (642 km - 54 km/h * t hours) / t.

Now we have the formula to calculate the speed of the second train. We just need to substitute the value of 't' to get the final answer.

Calculation

To calculate the speed of the second train, we need to know the value of 't'. Unfortunately, the value of 't' is not given in the problem statement. Without this information, we cannot determine the exact speed of the second train.

Please provide the value of 't' or any additional information that can help us solve the problem.