Question

Из двух городов, расстояние между которыми 80 км, одновременно в противоположных направлениях выехали два автомобиля. Скорость одного из автомобилей 60 км/ч. Через 3 часа расстояние между автомобилями оказалось равно 560 км. Найдите скорость другого автомобиля

Answer 1

60х3=180км проехал 1 автомобиль
560-(180+80)=300км проехал второй автомобиль
300:3=100 км/ч скорость второго автомобиля

Answer 2

Problem Analysis

We are given that two cars start simultaneously from two cities that are 80 km apart and travel in opposite directions. We are also given the speed of one of the cars, which is 60 km/h. After 3 hours, the distance between the cars is 560 km. We need to find the speed of the other car.

Solution

Let's assume the speed of the second car is x km/h. Since the two cars are traveling in opposite directions, their speeds are added up when calculating the distance between them.

After 3 hours, the distance traveled by the first car is 60 km/h * 3 hours = 180 km. The distance traveled by the second car is x km/h * 3 hours = 3x km.

The total distance between the two cars after 3 hours is the sum of the distances traveled by each car: 180 km + 3x km = 560 km.

To find the speed of the second car, we can solve this equation for x.

Solving the Equation

Let's solve the equation 180 km + 3x km = 560 km for x.

Subtracting 180 km from both sides of the equation: 3x km = 560 km - 180 km.

Simplifying the right side of the equation: 3x km = 380 km.

Dividing both sides of the equation by 3: x km = 380 km / 3.

Evaluating the division: x km ≈ 126.67 km/h.

Answer

The speed of the second car is approximately 126.67 km/h.

Please note that the answer is an approximation due to rounding.

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