Question

Решите задачу: Три машиниста напечатали вместе 48 страниц. Одна из них работала 1 час другая - 2 часа, третья - 3 часа. Сколько страниц напечатала каждая, если скорость работы у них одинакова? Пожалуйста по действиям.

Answer 1

3+2+1=6 все время
48\6=8 скорость
8*1=8стр
8*2=16стр
8*3=24стр

Answer 2

1)составим уравнение. 1 - х, 2 -2х, 3- 3х. Уравнение: х+2х+3х=48 2) решение уравнения. 6х=48 Х=8 - напечатала 1 8*2=16 напечала 2 8*3=24 - напечатала 3

Answer 3

Problem Analysis

We are given that three printers worked together and printed a total of 48 pages. The three printers worked for different durations: one for 1 hour, another for 2 hours, and the third for 3 hours. We need to determine how many pages each printer printed, assuming they all worked at the same speed.

Solution

Let's assume that the speed of each printer is the same. We can set up the following equation to represent the relationship between the number of pages printed and the time worked for each printer:

Printer 1: Number of pages printed by Printer 1 = Speed of Printer 1 × Time worked by Printer 1

Printer 2: Number of pages printed by Printer 2 = Speed of Printer 2 × Time worked by Printer 2

Printer 3: Number of pages printed by Printer 3 = Speed of Printer 3 × Time worked by Printer 3

Since the speed of all the printers is the same, we can represent it as a common variable, let's say x.

Printer 1: Number of pages printed by Printer 1 = x × 1

Printer 2: Number of pages printed by Printer 2 = x × 2

Printer 3: Number of pages printed by Printer 3 = x × 3

We are given that the total number of pages printed by all three printers is 48. We can set up the following equation to represent this:

x × 1 + x × 2 + x × 3 = 48

Simplifying the equation, we get:

x + 2x + 3x = 48

6x = 48

x = 48 / 6

x = 8

Now that we have the value of x, we can substitute it back into the equations to find the number of pages printed by each printer:

Printer 1: Number of pages printed by Printer 1 = 8 × 1 = 8 pages

Printer 2: Number of pages printed by Printer 2 = 8 × 2 = 16 pages

Printer 3: Number of pages printed by Printer 3 = 8 × 3 = 24 pages

Therefore, Printer 1 printed 8 pages, Printer 2 printed 16 pages, and Printer 3 printed 24 pages.

Answer

Based on the given information, each printer printed the following number of pages: - Printer 1: 8 pages - Printer 2: 16 pages - Printer 3: 24 pages