Question

В составе товарного поезда было 42 вагона.Крытых вагонов было в1,2раза больше ,чем платформ,а число цистерн составляло три пятых (в дробях)числа платформ.Сколько вагонов каждого вида было в составе поезда?

Answer 1

Пусть платформ было х,тогда крытых вагонов 1,2х,а цистерн 3/5хСоставим уравнение
х+1,2х+3/5х=42
х+1,2х+0,6х=42
2,8х=42
х=42:2,8
х=15 платформ
15*1,2=18 крытых вагонов
15*0,6=9 цистерн
проверка 15+18+9=42 всего

Answer 2

Пусть платформ было х,тогда крытых вагонов 1,2х,а цистерн 3/5хСоставим уравнение
х+1,2х+3/5х=42
х+1,2х+0,6х=42
2,8х=42
х=42:2,8
х=15 платформ
15*1,2=18 крытых вагонов
15*0,6=9 цистерн
проверка 15+18+9=42 всего

Answer 3

Calculation of the Number of Wagons in the Train

To determine the number of wagons of each type in the train, we can use the given information:

- The total number of wagons in the train is 42. - The number of covered wagons is 1.2 times greater than the number of platforms. - The number of tank wagons is three-fifths of the number of platforms.

Let's calculate the number of wagons for each type step by step:

1. Let's assume the number of platforms is x. 2. The number of covered wagons is 1.2 times greater than the number of platforms, so it is 1.2x. 3. The number of tank wagons is three-fifths of the number of platforms, so it is (3/5)x.

Now, we can set up an equation to solve for x:

x + 1.2x + (3/5)x = 42

Simplifying the equation:

2.8x = 42

Dividing both sides of the equation by 2.8:

x = 42 / 2.8 = 15

Now that we have the value of x, we can calculate the number of wagons for each type:

- The number of platforms is x = 15. - The number of covered wagons is 1.2x = 1.2 * 15 = 18. - The number of tank wagons is (3/5)x = (3/5) * 15 = 9.

Therefore, in the train, there were: - 15 platforms - 18 covered wagons - 9 tank wagons

Please note that these calculations are based on the given information and assumptions made.