Question

Помогите пожалуйста решить задачу!!!!! Из двух городов навстречу друг другу одновременно отправились два поезда. Скорость одного 60 км/ч, другой за 1 час приходит на 20 км больше. Через 3 ч 30 мин поезда встретились. Найди расстояние между городами?

Answer 1

Problem Analysis

To solve this problem, we need to find the distance between two cities based on the information given about two trains traveling towards each other. Let's break down the information provided:

- Two trains start simultaneously from two cities. - The speed of one train is 60 km/h. - The other train arrives 20 km ahead after 1 hour. - After 3 hours and 30 minutes, the trains meet.

Solution

Let's denote the distance between the two cities as d.

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

For the first train: - Speed = 60 km/h - Time = 3 hours and 30 minutes = 3.5 hours

For the second train: - Speed = 60 km/h - Time = 3 hours and 30 minutes - 1 hour = 2.5 hours (since it arrives 20 km ahead after 1 hour)

Using the formula, we can calculate the distances traveled by each train:

- Distance traveled by the first train = 60 km/h × 3.5 hours = 210 km - Distance traveled by the second train = 60 km/h × 2.5 hours = 150 km

Since the trains meet after traveling a combined distance of d, we can set up the equation:

210 km + 150 km = d

Simplifying the equation:

360 km = d

Therefore, the distance between the two cities is 360 km.

Answer

The distance between the two cities is 360 km.