Question

з двух городов,между которыми 1200км пути,одновременно навстречу друг другу выехали два поезда. Один из них затрачивает на этот путь 20 часо,другой 30 часов.Через сколько часов встретятся поезда

Answer 1

Problem Analysis

We have two trains traveling towards each other on a 1200 km route. One train takes 20 hours to complete the journey, while the other takes 30 hours. We need to determine how many hours it will take for the trains to meet.

Solution

To find the time it takes for the trains to meet, we can use the formula:

Time = Distance / Speed

Let's calculate the speeds of the trains first. We can use the formula:

Speed = Distance / Time

For the first train: Speed of the first train = 1200 km / 20 hours = 60 km/h

For the second train: Speed of the second train = 1200 km / 30 hours = 40 km/h

Now, we can calculate the time it takes for the trains to meet. Since they are traveling towards each other, their relative speed will be the sum of their individual speeds:

Relative speed = Speed of the first train + Speed of the second train

Time = Distance / Relative speed

Time = 1200 km / (60 km/h + 40 km/h)

Time = 1200 km / 100 km/h

Time = 12 hours

Therefore, the trains will meet after 12 hours.

Answer

The trains will meet after 12 hours.