Question

Мастер за час делает на 5 единиц продукции больше ,чем ученик.После того ,как ученик проработал 8 часов,а мастер 10,они изготовили 410 деталей. Сколько деталей делает в час мастер,и сколько ученик

Answer 1

Пусть ученик делает Х деталей,тогда мастер (Х+5).
Составим уравнение:
8Х+10(Х+5)=410
8Х+10Х+50=410
18Х=360
Х=20-делает ученик за час
20+5=25-делает мастер за час

Answer 2

Сначала раздели 410 на 2 это будет 205
потом 205 раздели на 10 получится 20,5 
потом 205 раздели на 8 получится 25,625
потом к 20,625 прибавь 5 получится 30,625
ответ мастер за час делает 30,625 ученик 20,5
должно так получиться)

Answer 3

Calculating Production Rates for Master and Apprentice

To solve this problem, we can use the information provided to calculate the production rates for both the master and the apprentice.

Let's denote: - The production rate of the apprentice as A (in units per hour). - The production rate of the master as M (in units per hour).

Given: - The master makes 5 more units of production per hour than the apprentice. - The apprentice worked for 8 hours, and the master worked for 10 hours, resulting in a total of 410 units produced.

We can set up the following equations based on the given information: 1. A = apprentice's production rate 2. M = master's production rate 3. M = A + 5 (the master makes 5 more units of production per hour than the apprentice) 4. 8A + 10M = 410 (the total production after the given hours)

Solving for Production Rates

Let's solve the equations to find the production rates for the master and the apprentice.

First, we'll substitute the value of M from equation 3 into equation 4: 8A + 10(A + 5) = 410

Solving for A: 8A + 10A + 50 = 410 18A = 360 A = 20

Now that we have the production rate of the apprentice, we can find the production rate of the master: M = A + 5 M = 20 + 5 M = 25

Conclusion

The master produces 25 units per hour, and the apprentice produces 20 units per hour.