Question

Расстояние между городами 567км. Два автомобиля движутся на встречу друг другу с одинаковой скоростью . Первый автомобиль проехал до встречи 5 часов,а второй 4 часа. Сколько км проехал каждый автомобиль до встречи?

Answer 1

Calculation of the Distance Traveled by Each Car

To calculate the distance traveled by each car before they meet, we can use the formula:

Distance = Speed × Time

Given that both cars are traveling at the same speed, we can assume that the speed of each car is x km/h.

The first car traveled for 5 hours before the meeting, so the distance it traveled is:

Distance of the first car = Speed × Time = x km/h × 5 hours = 5x km.

Similarly, the second car traveled for 4 hours before the meeting, so the distance it traveled is:

Distance of the second car = Speed × Time = x km/h × 4 hours = 4x km.

Since the total distance between the two cities is given as 567 km, we can set up the following equation:

Distance of the first car + Distance of the second car = Total distance

5x km + 4x km = 567 km

Simplifying the equation:

9x km = 567 km

Dividing both sides of the equation by 9:

x km = 63 km

Therefore, each car traveled:

Distance of the first car = 5x km = 5 × 63 km = 315 km

Distance of the second car = 4x km = 4 × 63 km = 252 km

So, the first car traveled 315 km before the meeting, and the second car traveled 252 km before the meeting.

Please let me know if there's anything else I can help you with!