Question

Два автомобиля одновременно выехали навстречу друг другу из двух городов, расстояние между которыми 462 км. Через какое время они встретятся, если скорость первого автомобиля 54 км/ч, а скорость второго на 12 км/ч больше? Помогите пожалуйста

Answer 1

1)54+12=66 км ч скорость 2 автомобиля
2)54+66=120 км ч скорость сближения
3)462:120=3 часа (ост 102км)
4)360+120=480 км
5)480:120=4 часа
ответ:примерно через 4 часа автомобили встретятся

Answer 2

Problem Analysis

We have two cars traveling towards each other from two different cities. The distance between the cities is 462 km. The first car is traveling at a speed of 54 km/h, and the second car is traveling at a speed 12 km/h faster than the first car. We need to determine how long it will take for the two cars to meet.

Solution

To solve this problem, we can use the formula: time = distance / speed. We can calculate the time it takes for each car to travel the distance between the cities 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 between the cities: - Distance: 462 km - Speed of the first car: 54 km/h

Using the formula time = distance / speed, we can calculate the time it takes for the first car to travel the distance: - Time for the first car = 462 km / 54 km/h

Now, let's calculate the time it takes for the second car to travel the distance between the cities: - Speed of the second car = speed of the first car + 12 km/h

Using the formula time = distance / speed, we can calculate the time it takes for the second car to travel the distance: - Time for the second car = 462 km / (54 km/h + 12 km/h)

Finally, we can find the time it takes for the two cars to meet by adding the times for each car: - Total time = time for the first car + time for the second car

Let's calculate the values:

Calculation

- Time for the first car = 462 km / 54 km/h = 8.56 hours - Time for the second car = 462 km / (54 km/h + 12 km/h) = 6.5 hours - Total time = 8.56 hours + 6.5 hours = 15.06 hours

Answer

The two cars will meet in approximately 15.06 hours.

Please note that the above calculation assumes constant speeds for both cars throughout the journey.