
Из двух городов, расстояние между которыми равно 556 км, одновременно навстречу друг другу выехали
два автомобиля и встретились через 4 ч после начала движения.Скорость одного из них равна 67 км/ч.Найдите скорость второго автомобиля.

Ответы на вопрос




Problem Analysis
We are given that two cars start driving towards each other from two different cities, and they meet after 4 hours. The distance between the cities is 556 km, and the speed of one of the cars is 67 km/h. We need to find the speed of the second car.Solution
Let's assume the speed of the second car is x km/h.We know that the distance traveled by the first car in 4 hours is equal to its speed multiplied by the time: Distance traveled by the first car = Speed of the first car * Time = 67 km/h * 4 h = 268 km
Since the two cars are driving towards each other, the sum of the distances traveled by both cars should be equal to the total distance between the cities: Distance traveled by the first car + Distance traveled by the second car = Total distance between the cities 268 km + Distance traveled by the second car = 556 km
To find the distance traveled by the second car, we can subtract the distance traveled by the first car from the total distance between the cities: Distance traveled by the second car = Total distance between the cities - Distance traveled by the first car Distance traveled by the second car = 556 km - 268 km = 288 km
Now, we can use the formula for speed to find the speed of the second car: Speed of the second car = Distance traveled by the second car / Time = 288 km / 4 h = 72 km/h
Answer
The speed of the second car is 72 km/h.Explanation
When two cars start driving towards each other from two different cities, the distance traveled by each car can be calculated by multiplying its speed by the time. By subtracting the distance traveled by the first car from the total distance between the cities, we can find the distance traveled by the second car. Dividing this distance by the time gives us the speed of the second car. In this case, the speed of the second car is 72 km/h.

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