Question

Двое рабочих изготовили 176 деталей. Первый рабочий работал 5 дней, а второй 8 дней. Сколько деталей изготавливал в день каждый рабочий, если первый рабочий за 3 дня изготовил столько же деталей,сколько второй за 4 дня ?P.S. Распишите подробно.Заранее спасибо)

Answer 1

] x - количество детялей, которое изготавливает 1 рабочий за день

  y - количество деталей, которое изготавливает 2 рабочий за 1 день 

Тогда по условию задачи можно составить уравнение:

 

5x+8y=176

3x=4y

 

4y=3x

5x+2(3x)=176

 

4y=3x

11x=176

 

x=16

y=12

 

Ответ: 16 деталей 1 рабочий, 12 деталей 2 рабочий

Answer 2

Problem Analysis

We are given that two workers produced a total of 176 parts. The first worker worked for 5 days, and the second worker worked for 8 days. We need to determine how many parts each worker produced per day, given that the first worker produced the same number of parts in 3 days as the second worker did in 4 days.

Solution

Let's assume that the first worker produced x parts per day, and the second worker produced y parts per day.

From the given information, we can form the following equations:

Equation 1: The total number of parts produced by the first worker is equal to the number of days worked multiplied by the number of parts produced per day. Equation 2: The total number of parts produced by the second worker is equal to the number of days worked multiplied by the number of parts produced per day. Equation 3: The number of parts produced by the first worker in 3 days is equal to the number of parts produced by the second worker in 4 days.

Let's solve these equations to find the values of x and y.

Equation 1:

The total number of parts produced by the first worker is given as 176. The first worker worked for 5 days. So, the equation becomes: 5x = 176

Equation 2:

The total number of parts produced by the second worker is given as 176. The second worker worked for 8 days. So, the equation becomes: 8y = 176

Equation 3:

The number of parts produced by the first worker in 3 days is equal to the number of parts produced by the second worker in 4 days. So, the equation becomes: 3x = 4y

Now, let's solve these equations to find the values of x and y.

Solving the Equations

From Equation 1, we can solve for x: 5x = 176 x = 176/5 x = 35.2

From Equation 2, we can solve for y: 8y = 176 y = 176/8 y = 22

From Equation 3, we can substitute the value of x from Equation 1 and solve for y: 3x = 4y 3(35.2) = 4y 105.6 = 4y y = 105.6/4 y = 26.4

So, the first worker produced 35.2 parts per day, and the second worker produced 26.4 parts per day.

Answer

The first worker produced 35.2 parts per day, and the second worker produced 26.4 parts per day.

Note: The number of parts produced per day is rounded to one decimal place.