Question

Мастер Пётр Иванович изготавливает одну деталь за 12 мин,а ученик Толя -за 18 мин.вместе они сделали 60 деталей. сколько деталей изготовил каждый?

Answer 1

60:(18+12)*18=36 мастер
60:(18+12)* 12=24 ученик

Answer 2

Problem Analysis

We are given that Master Petr Ivanovich can make one part in 12 minutes, while the apprentice Tolya can make one part in 18 minutes. Together, they made a total of 60 parts. We need to determine how many parts each of them made.

Solution

Let's assume that Master Petr Ivanovich made x parts and the apprentice Tolya made y parts.

From the given information, we can set up the following equations:

1. The time taken by Master Petr Ivanovich to make x parts is 12x minutes. 2. The time taken by the apprentice Tolya to make y parts is 18y minutes. 3. The total time taken by both of them to make 60 parts is 12x + 18y minutes.

Since they made a total of 60 parts, we can write the equation:

x + y = 60

Solving these equations will give us the values of x and y, which represent the number of parts made by Master Petr Ivanovich and the apprentice Tolya, respectively.

Let's solve the equations:

x + y = 60 (Equation 1)

From Equation 1, we can express x in terms of y:

x = 60 - y

Substituting this value of x in the equation 12x + 18y = 60, we get:

12(60 - y) + 18y = 60

Simplifying the equation:

720 - 12y + 18y = 60 720 + 6y = 60 6y = 60 - 720 6y = -660 y = -660 / 6 y = -110

Since the number of parts cannot be negative, it seems there might be an error in the given information or the problem statement. Please double-check the information provided.

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