Question

Реши задачу с помощью уравнения. Из двух городов навстречу друг другу Одновременно вышли два поезда. Скорость первого 60 км/ч, скорость второго - 90 км/ч. Через сколько часов они встретятся, если расстояние между городами 900 км? ​

Answer 1

Ответ:

6 часов

Пошаговое объяснение:

Пусть время которое ехали поезда до встречи равно х ч.

Тогда первый проехал 60х км до встречи, а второй - 90х км.

Составим уравнение зная, что вместе оны проехали 900 км.

60х+90х=900

150х=900

х=900:150

х=6 ( ч)

Поезда встретились через 6 часов.

Answer 2

Problem Analysis

We are given two trains traveling towards each other from two different cities. The first train has a speed of 60 km/h, and the second train has a speed of 90 km/h. We need to find out how many hours it will take for the trains to meet if the distance between the cities is 900 km.

Solution

To solve this problem, we can use the formula:

Distance = Speed × Time

Let's assume that the time it takes for the trains to meet is 't' hours.

The distance traveled by the first train in 't' hours is given by: Distance1 = Speed1 × t

The distance traveled by the second train in 't' hours is given by: Distance2 = Speed2 × t

Since the two trains are traveling towards each other, the sum of their distances should be equal to the total distance between the cities: Distance1 + Distance2 = Total Distance

Substituting the values we have: Speed1 × t + Speed2 × t = Total Distance

Now we can solve this equation to find the value of 't'.

Calculation

Let's substitute the given values into the equation and solve for 't':

Speed1 = 60 km/h Speed2 = 90 km/h Total Distance = 900 km

60t + 90t = 900

Simplifying the equation: 150t = 900

Dividing both sides by 150: t = 6

Therefore, it will take 6 hours for the two trains to meet.

Answer

The two trains will meet after 6 hours of traveling.

Note: The answer is based on the given information and calculations.