Question

Из одного города в другой со скоростью 60 километров час выехал автомобиль Через 3 часа из старого города навстречу ему выехал второй автомобиль они встретились через 7 часов после начала движения первого автомобиля Найдите скорость второго автомобиля если расстояние между городами равно 700 км. помогите пожалуйста заранее спасибо

Answer 1

1) 60 * 7 = 420 км - проехал до встречи первый автомобиль;
2) 700 - 420 = 280 км - проехал до встречи второй автомобиль;
3) 7 - 3 = 4 часа ехал до встречи второй автомобиль;
4) 280 : 4 = 70 км/ч - скорость второго автомобиля.
Проверка: 60 * 7 + 70 * 4 = 420 + 280 = 700
 Ответ: 70 км/ч - скорость второго автомобиля.

Answer 2

Problem Analysis

We are given that a car travels from one city to another at a speed of 60 kilometers per hour. After 3 hours, another car starts from the second city and travels towards the first car. The two cars meet after 7 hours from the start of the first car's journey. We need to find the speed of the second car, given that the distance between the cities is 700 kilometers.

Solution

Let's assume the speed of the second car is x kilometers per hour.

We know that the first car has been traveling for 3 hours before the second car starts. Therefore, the distance covered by the first car in 3 hours is 60 * 3 = 180 kilometers.

When the second car starts, the total distance between the two cars is 700 - 180 = 520 kilometers.

We also know that the two cars meet after 7 hours from the start of the first car's journey. During this time, the first car has been traveling for a total of 3 + 7 = 10 hours.

Using the formula distance = speed * time, we can set up the following equation:

180 + x * 7 = 520

Simplifying the equation, we get:

7x = 520 - 180

7x = 340

x = 340 / 7

x ≈ 48.57

Therefore, the speed of the second car is approximately 48.57 kilometers per hour.

Answer

The speed of the second car is approximately 48.57 kilometers per hour.