Question

Из двух городов навстречу друг другу одновременно отправились два поезда. Скорость одного 60км/ч другой за 1 час проходит на 20 км больше. Через 3ч 30 мин поезда встретились. Найти расстояние между городами. Во 2 действие с дробями 1/5 так

Answer 1

Всмысле я чёт не понел последний вопрос

Answer 2

Problem Analysis

We are given that two trains start simultaneously from two cities and meet after 3 hours and 30 minutes. The speed of one train is 60 km/h, and the other train covers 20 km more in 1 hour. We need to find the distance between the two cities.

Solution

Let's assume the speed of the second train is x km/h. According to the problem, the second train covers 20 km more than the first train in 1 hour. So, the distance covered by the second train in 1 hour is (60 + 20) km.

Using this information, we can set up the following equation:

Distance covered by the first train in 3 hours and 30 minutes + Distance covered by the second train in 3 hours and 30 minutes = Total distance between the two cities

To find the distance covered by each train, we can use the formula:

Distance = Speed × Time

Let's calculate the distance covered by each train and then find the total distance between the two cities.

Calculation

The distance covered by the first train in 3 hours and 30 minutes is: Distance1 = Speed1 × Time1 = 60 km/h × (3.5 hours) = 210 km The distance covered by the second train in 3 hours and 30 minutes is: Distance2 = Speed2 × Time2 = (60 + 20) km/h × (3.5 hours) = 280 km The total distance between the two cities is: Total Distance = Distance1 + Distance2 = 210 km + 280 km = 490 km

Therefore, the distance between the two cities is 490 km.

Answer

The distance between the two cities is 490 km.

Answer 3

Problem Analysis

We have two trains traveling towards each other from two different cities. The speed of one train is 60 km/h, while the other train travels 20 km more in 1 hour. After 3 hours and 30 minutes, the trains meet. We need to find the distance between the two cities.

Solution

Let's break down the problem step by step:

1. Let's assume the speed of the second train is x km/h. According to the problem, the second train travels 20 km more in 1 hour. So, the speed of the second train can be expressed as (60 + x) km/h.

2. We know that distance = speed × time. The time taken by both trains to meet is 3 hours and 30 minutes, which can be expressed as 3.5 hours.

3. The distance traveled by the first train can be calculated as 60 km/h × 3.5 hours = 210 km.

4. The distance traveled by the second train can be calculated as (60 + x) km/h × 3.5 hours = (210 + 3.5x) km.

5. Since the trains meet, the sum of the distances traveled by both trains is equal to the total distance between the cities. Therefore, we can write the equation: 210 km + (210 + 3.5x) km = total distance.

6. Simplifying the equation, we get: 420 + 3.5x = total distance.

7. To find the total distance, we need to solve for x. We can do this by substituting the given information that the trains meet after 3 hours and 30 minutes. Therefore, x = 20 km/h.

8. Substituting the value of x into the equation, we get: 420 + 3.5(20) = total distance.

9. Calculating the equation, we find that the total distance between the cities is 490 km.

Answer

The distance between the two cities is 490 km.