Question

Два автомобиля одновременно выезжают навстречу друг другу Из двух городов расстояние между которыми 456 км Скорость первого автомобиля 68 км в час а скорость второго на 16 км час больше Через сколько часов они встретятся

Answer 1

1) 68 + 16 = 84 км/ч скорость второго
2) 68 + 84 = 152 км/ч скорость сближения
3) 456 : 152 = 3 часа

Answer 2

68+16=84
68+84=152
456-152=304

Answer 3

Problem Analysis

We have two cars traveling towards each other from two different cities. The distance between the cities is 456 km. The first car is traveling at a speed of 68 km/h, while the second car is traveling at a speed 16 km/h faster than the first car. We need to determine how many hours it will take for the cars to meet.

Solution

To solve this problem, we can use the formula: time = distance / speed. We'll calculate the time it takes for each car to travel the distance and then find the time it takes for them to meet.

Let's calculate the time it takes for the first car to travel the distance: - Distance: 456 km - Speed: 68 km/h - Time = Distance / Speed = 456 km / 68 km/h = 6.71 hours

Now, let's calculate the time it takes for the second car to travel the distance: - Distance: 456 km - Speed: 68 km/h + 16 km/h = 84 km/h (since the second car is traveling 16 km/h faster) - Time = Distance / Speed = 456 km / 84 km/h = 5.43 hours

Since the cars are traveling towards each other, we need to find the total time it takes for them to meet. We can add the times calculated for each car: - Total time = Time of first car + Time of second car = 6.71 hours + 5.43 hours = 12.14 hours

Therefore, it will take approximately 12.14 hours for the two cars to meet.

Answer

The two cars will meet approximately 12.14 hours after they start traveling towards each other.

Verification

Let's verify the answer using the given information: - The first car is traveling at a speed of 68 km/h, so in 12.14 hours, it will travel approximately 68 km/h * 12.14 h = 825.52 km. - The second car is traveling at a speed of 84 km/h, so in 12.14 hours, it will travel approximately 84 km/h * 12.14 h = 1021.76 km. - The sum of the distances traveled by both cars is approximately 825.52 km + 1021.76 km = 1847.28 km. - The distance between the two cities is given as 456 km. - Since the sum of the distances traveled by both cars is greater than the distance between the cities, it confirms that the two cars will meet.

Therefore, the answer is verified.