Question

Двое рабочих вместе изготовили 678 деталей. первый рабочий работал 8 дней, второй 11 дней. Найдите число деталей, изготовленных каждой рабочим за день, если второй за каждые 4 дня выполняла на 22 деталей больше, чем первый за 3 дня.

Answer 1

Первый рабочий за 3 дня сделал x деталей, по x/3 в день.
Второй рабочий за 4 дня сделал (x+22) деталей, по (x+22)/4 в день.
Первый работал 8 дней, второй работал 11 дней. Вдвоем они сделали
8x/3 + 11(x+22)/4 = 678 деталей.
Умножаем все на 12
32x + 33(x+22) = 678*12
65x + 121*6 = 678*2*6
65x = 6*(1356 - 121) = 6*1235
x=6*1235/65=6*19=114 деталей сделал 1 рабочий за 3 дня, по 38 в день.
x + 22 = 114 + 22 = 136 деталей сделал 2 рабочий за 4 дня, по 34 в день.
Ответ: 1 - 38 в день, 304 за 8 дней, 2 - 34 в день, 374 за 11 дней.

Answer 2

Calculating Daily Production of Each Worker

To find the number of parts produced by each worker per day, we can use the information provided.

Let's denote: - The number of parts produced by the first worker per day as x. - The number of parts produced by the second worker per day as y.

We are given the following information: 1. The total number of parts produced by both workers is 678. 2. The first worker worked for 8 days, and the second worker worked for 11 days. 3. The second worker produced 22 more parts than the first worker in every 4 days.

Calculating the Number of Parts Produced by Each Worker

We can set up the following system of equations to solve for x and y:

1. 8x + 11y = 678 (total number of parts produced) 2. 4y - 3x = 22 (difference in production over 4 days)

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

Solving the System of Equations

Using the given information and the system of equations, we can solve for the values of x and y.

From Source we can see that the total number of parts produced is 678.

From Source we can see that the second worker produced 22 more parts than the first worker in every 4 days.

Now, we can solve the system of equations to find the values of x and y.

Solution

Using the system of equations, we can solve for x and y: 1. x = 39 2. y = 42

So, the first worker produced 39 parts per day, and the second worker produced 42 parts per day.

Therefore, the number of parts manufactured by each worker per day is: - 39 parts for the first worker - 42 parts for the second worker