Question

Мастер и ученик изготовили вместе 62 детали. ученик работал 5ч мастер в 7ч.Мастер изготавливал в час на 2 детали больше.Сколько деталей в час изготавливал ученик и мастер?

Answer 1

х-сделал ученик деталий за 1 час
(х+2)-сделал учитель за 1 час
Составляем уравнение:
5х+7(х+2)=62
5х+7х+14=62
12х+14=62
12х=48
х=4
х+2=6
Ответ: ученик сделал 4, а учитель 6 деталий за 1 час.

Answer 2

Question Analysis

The question asks for a detailed explanation of how many parts the apprentice and the master produced per hour, given that they made a total of 62 parts together. The apprentice worked for 5 hours, while the master worked for 7 hours. The master produced 2 more parts per hour than the apprentice.

Answer

To find out how many parts the apprentice and the master produced per hour, we can set up a system of equations based on the given information.

Let's assume that the apprentice produced x parts per hour. Since the master produced 2 more parts per hour than the apprentice, the master produced (x + 2) parts per hour.

According to the given information, the apprentice worked for 5 hours, and the master worked for 7 hours. The total number of parts they produced together is 62.

We can set up the following equations:

5x + 7(x + 2) = 62

Simplifying the equation:

5x + 7x + 14 = 62

Combining like terms:

12x + 14 = 62

Subtracting 14 from both sides:

12x = 48

Dividing both sides by 12:

x = 4

Therefore, the apprentice produced 4 parts per hour, and the master produced (4 + 2) = 6 parts per hour.

Answer Summary

The apprentice produced 4 parts per hour, while the master produced 6 parts per hour.