Question

В результате ошибки, при комплектования состав пассажирских поездов один состав оказался в полтора раза длиннее другого.Чтобы уровнять чисто выгонов в обоих, от первого состава отцепили 4 вагона и прицепили их ко второму составу.Сколько вагонов было в каждом составе первоначально? (ПОМОГИТЕ РЕШИТЬ ЗАДАЧУ СРОЧНО НАДО)

Answer 1

в 1 составе - 1,5х вагонов

во 2 составе - х

1,5х-4=х+4

0,5х=8

х=16 (ваг.) - во 2 составе

16*1,5=24 (ваг.) - в 1 составе

Answer 2

Problem Analysis

We have two passenger train compositions, one of which is one and a half times longer than the other. To equalize the lengths of the two compositions, 4 wagons were detached from the longer composition and attached to the shorter composition. We need to determine the initial number of wagons in each composition.

Solution

Let's assume the initial number of wagons in the shorter composition is x. Then the initial number of wagons in the longer composition would be 1.5x.

To equalize the lengths, 4 wagons were detached from the longer composition and attached to the shorter composition. This means that the longer composition now has 1.5x - 4 wagons, and the shorter composition has x + 4 wagons.

We can set up the following equation to solve for x:

(1.5x - 4) = (x + 4)

Now, let's solve this equation to find the initial number of wagons in each composition.

Calculation

Expanding the equation:

1.5x - 4 = x + 4

Subtracting x from both sides:

0.5x - 4 = 4

Adding 4 to both sides:

0.5x = 8

Dividing both sides by 0.5:

x = 16

So, the initial number of wagons in the shorter composition was 16, and the initial number of wagons in the longer composition was 1.5 * 16 = 24.

Therefore, initially, there were 16 wagons in the shorter composition and 24 wagons in the longer composition.

Please let me know if I can help you with anything else.