Question

Расстояние между городами А и Б равно 480 км.Две машины одновременно выехали из этих городов на встречу друг другу. а) Через 2 часа обе машины сделали остановку. Какое между ними расстояние, если одна машина приехала 180 км,а другая 140 км? Определи скорость каждой машины.

Answer 1

1) 180/2 = 90 км\ч скорость 1ой машины 
2) 140/2 = 70 скорость 2ой машины
3)180-140=40 км расстояние между ними

Answer 2

Problem Analysis

We are given that the distance between cities A and B is 480 km. Two cars simultaneously start from these cities and drive towards each other. After 2 hours, both cars make a stop. We are asked to determine the distance between the cars at this point and calculate the speed of each car.

Solution

To find the distance between the cars after 2 hours, we need to calculate the total distance covered by both cars. We are given that one car traveled 180 km and the other car traveled 140 km.

Let's denote the speed of the first car as v1 and the speed of the second car as v2.

The total distance covered by the first car is given by the formula: distance1 = speed1 * time. Since the time is 2 hours and the distance covered is 180 km, we can write the equation as: 180 = v1 * 2.

Similarly, the total distance covered by the second car is given by the formula: distance2 = speed2 * time. Since the time is 2 hours and the distance covered is 140 km, we can write the equation as: 140 = v2 * 2.

Now we have a system of two equations with two unknowns. We can solve this system of equations to find the speeds of both cars.

Calculation

Let's solve the system of equations:

Equation 1: 180 = v1 * 2 Equation 2: 140 = v2 * 2

From Equation 1, we can solve for v1: v1 = 180 / 2 = 90 km/h. From Equation 2, we can solve for v2: v2 = 140 / 2 = 70 km/h.

Therefore, the speed of the first car is 90 km/h and the speed of the second car is 70 km/h.

To find the distance between the cars after 2 hours, we can subtract the distance covered by one car from the total distance between the cities: distance_between_cars = 480 - (180 + 140).

Calculating the distance between the cars: distance_between_cars = 480 - 320 = 160 km.

Answer

The distance between the two cars after 2 hours is 160 km. The speed of the first car is 90 km/h and the speed of the second car is 70 km/h.