Question

В составе товарного поезда было 42 вагона. Крытых вагонов было в 1,2 раза больше, чем платформ, а число цистерн составляло три пятых числа платформ. Сколько вагонов каждого вида было в составе поезда? (подробно решить задачу)

Answer 1

1,2х+3/5х+х=42 
2,8х=42 
х=42:2,8
х=15-платформ. 
1,2*15=18-крытых вагонов.
15*3:5=9-цистерн.




 или

х+1,2х+3/5
х=42х+1,2
х+0,6х=422,
8х=42х=42:2,
8х=15 платформ1
5*1,2=18 крытых вагонов
15*0,6=9 цистерн

Answer 2

Problem Analysis

We are given that a freight train consists of 42 wagons. The number of covered wagons is 1.2 times greater than the number of platforms, and the number of tank wagons is three-fifths of the number of platforms. We need to determine the number of wagons of each type in the train.

Solution

Let's assume the number of platforms is x.

According to the given information: - The number of covered wagons is 1.2 times greater than the number of platforms, so the number of covered wagons is 1.2x. - The number of tank wagons is three-fifths of the number of platforms, so the number of tank wagons is (3/5)x.

The total number of wagons is given as 42, so we can write the equation:

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

Simplifying the equation:

2.8x = 42

Dividing both sides by 2.8:

x = 42 / 2.8 = 15

Therefore, the number of platforms is 15.

Now, we can calculate the number of covered wagons and tank wagons:

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

So, in the train, there are 15 platforms, 18 covered wagons, and 9 tank wagons.

Answer

In the freight train, there are 15 platforms, 18 covered wagons, and 9 tank wagons.