Question

Помогите решить задачу из двух городов навстречу друг другу одновременно отправились два поезда скорость одного 60км/ч другой за 1 час проходит на 20км больше через 3ч 30 мин поезда встретелись найти растаяние между городами

Answer 1

60+20=80 км/ч скорость второго поезда
80+60=140 км/ч общая скорость
3ч30мин=3.5часа
3,5 *140=490км расстояние между городами
ОТВЕТ: 490км расстояние между городами

Answer 2

Problem Analysis

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

Solution

Let's break down the problem step by step:

1. Let's assume the distance between the two cities is d km. 2. The first train is traveling at a speed of 60 km/h, so in 3 hours and 30 minutes (or 3.5 hours), it will cover a distance of 60 * 3.5 = 210 km. 3. The second train covers 20 km more than the first train in 1 hour. So, in 3 hours and 30 minutes, it will cover a distance of 210 + 20 = 230 km. 4. When the two trains meet, the total distance covered by both trains will be equal to the distance between the cities. 5. Therefore, we can set up the equation: 210 + 230 = d. 6. Solving this equation, we find that the distance between the cities is 440 km.

Answer: The distance between the two cities is 440 km.

Mathematical Representation

Let's represent the solution mathematically:

- Distance covered by the first train in 3 hours and 30 minutes: 60 km/h * 3.5 h = 210 km. - Distance covered by the second train in 3 hours and 30 minutes: 210 km + 20 km = 230 km. - Total distance between the cities: 210 km + 230 km = 440 km.

Answer: The distance between the two cities is 440 km.

Verification

Let's verify the solution using the given information:

- The first train travels at a speed of 60 km/h, so in 3 hours and 30 minutes, it covers a distance of 60 km/h * 3.5 h = 210 km. - The second train covers 20 km more than the first train in 1 hour. So, in 3 hours and 30 minutes, it covers a distance of 210 km + 20 km = 230 km. - The total distance covered by both trains when they meet is 210 km + 230 km = 440 km.

The calculated distance matches the given information, so the solution is correct.

Answer: The solution is verified. The distance between the two cities is indeed 440 km.