Question

Решите задачу , составив уравнение . Мастер изготавливает на 8 деталей в час больше , чем ученик . Ученик работал 6 часов , а мастер 8 часов , и вместе они изготовили 232 детали . Сколько деталей в час изготавливает мастер?

Answer 1

Если х- ученик, то (х+8)-мастер, тогда получаем:
6х+8(х+8)=232
6х+8х+64=232
14х=168
х=12 -ученик, 20 деталей мастер

Answer 2

Problem Statement:

We need to find out how many parts the master produces per hour.

Solution:

Let's assume that the number of parts the apprentice produces per hour is x. According to the problem, the master produces 8 parts per hour more than the apprentice. Therefore, the number of parts the master produces per hour can be represented as x + 8.

Given that the apprentice worked for 6 hours and the master worked for 8 hours, the total number of parts they produced together is 232.

To solve this problem, we can set up the following equation:

6x + 8(x + 8) = 232

Let's solve this equation to find the value of x and then calculate the number of parts the master produces per hour.

Solution Steps:

1. Expand the equation: 6x + 8x + 64 = 232 2. Combine like terms: 14x + 64 = 232 3. Subtract 64 from both sides: 14x = 168 4. Divide both sides by 14: x = 12 5. Substitute the value of x back into the equation to find the number of parts the master produces per hour: x + 8 = 12 + 8 = 20

Therefore, the master produces 20 parts per hour.