Question

Расстояние между городами А и В равно 490 км. Из города А в город В со скоростью 55 км/ч выехал первый автомобиль, а через час после этого на встречу ему из города В выехал со скоростью 90 км/ч второй автомобиль . На каком расстояние от города А они встретятся?

Answer 1

1)490-55= 435(км) - расстояние когда выехал 2 автомобиль2)55+90=145(км\ч)- общая скорость3)435/145=3(ч) - время в пути4)55*3=165(км) - расстояние проехавшее 1 авт.5)165+55=220(км) - расстояние от города А на котором они встретятся

Answer 2

Calculating the Meeting Point of Two Cars

To calculate the meeting point of the two cars, we can use the formula:

Meeting point distance = (speed of the first car * time) + (speed of the second car * time)

Given: - Distance between city A and city B = 490 km - Speed of the first car = 55 km/h - Speed of the second car = 90 km/h

Let's calculate the meeting point distance.

Calculations

1. Let's assume the meeting point distance is x km. 2. The first car travels for t hours at a speed of 55 km/h, so the distance it covers is 55t km. 3. The second car starts an hour later and travels towards the first car at a speed of 90 km/h, so the distance it covers is 90(t-1) km. 4. The sum of these distances is equal to the total distance between the two cities, which is 490 km.

Using the given information, we can set up the equation: 55t + 90(t-1) = 490

Solving for t will give us the time it takes for the cars to meet, and then we can calculate the meeting point distance x.

Solution

Using the equation 55t + 90(t-1) = 490, we can solve for t: 55t + 90t - 90 = 490 145t - 90 = 490 145t = 580 t = 580 / 145 t = 4 hours

Now that we have the time t, we can calculate the meeting point distance x: x = 55t x = 55 * 4 x = 220 km

So, the two cars will meet 220 km from city A.