Question

Пассажирский поезд проходит расстояние между двумя городами за 10 часов, а товарный - за 15 часов.Оба поезда выехали навстречу друг другу одновременно.Через сколько часов они встретятся?

Answer 1

Они встретятся через 6 часов

Answer 2

Problem Analysis

We are given that a passenger train covers a distance between two cities in 10 hours, while a freight train covers the same distance in 15 hours. Both trains start simultaneously and are traveling towards each other. We need to determine how many hours it will take for them to meet.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between two objects moving towards each other is the sum of their individual speeds. Let's assume the speed of the passenger train is P and the speed of the freight train is F.

We can set up the following equation to represent the distance covered by each train:

Distance covered by passenger train = P * Time Distance covered by freight train = F * Time

Since both trains are traveling towards each other, the sum of their distances covered will be equal to the total distance between the two cities:

P * Time + F * Time = Total Distance

We are given that the passenger train covers the distance in 10 hours and the freight train covers the distance in 15 hours. Let's substitute these values into the equation:

P * 10 + F * 10 = Total Distance

Simplifying the equation, we get:

10(P + F) = Total Distance

Now, we need to find the value of Time when the two trains meet. Let's solve for Time:

Time = Total Distance / (P + F)

Substituting the given values, we get:

Time = Total Distance / (10 + 15) Time = Total Distance / 25

Therefore, the two trains will meet after Total Distance / 25 hours.

Answer

Based on the given information, the passenger train and the freight train will meet after Total Distance / 25 hours. The exact value of the meeting time depends on the total distance between the two cities, which is not provided in the question.