Question

Мастер,работая7 часов ,сделал на 24 детали больше,чем ученик за 3 часа при той же норме выработки.Сколько деталей сделал каждый

Answer 1

1) 7 - 3 = 4 (ч) - разница во времени работы
2) 24 : 4 = 6 (д) - делают в час
3) 6 * 7 = 42 (д)
4) 6 * 3 = 18 (д)
Ответ: 42 детали сделал мастер и 18 деталей сделал ученик.
P.S. Мы такую же задачку 4 месяца назад решали. Я в 4 классе, мне 10 лет. :)

Answer 2

Problem Analysis

We are given that a master, working for 7 hours, produced 24 more parts than an apprentice who worked for 3 hours at the same production rate. We need to determine how many parts each person produced.

Solution

Let's assume that the apprentice produced x parts in 3 hours. Since the master produced 24 more parts, the master must have produced x + 24 parts in 7 hours.

To find the production rate, we can divide the number of parts produced by the number of hours worked. The production rate for both the master and the apprentice is the same.

Let's calculate the production rate for the apprentice: Apprentice's production rate = x parts / 3 hours

Now, let's calculate the production rate for the master: Master's production rate = (x + 24) parts / 7 hours

Since the production rates are the same, we can set up an equation: Apprentice's production rate = Master's production rate

x parts / 3 hours = (x + 24) parts / 7 hours

To solve for x, we can cross-multiply and solve the resulting equation.

Let's solve the equation step by step:

Step 1: Cross-multiply 7x = (x + 24) * 3

Step 2: Distribute the 3 on the right side 7x = 3x + 72

Step 3: Subtract 3x from both sides 7x - 3x = 72

Step 4: Simplify 4x = 72

Step 5: Divide both sides by 4 x = 18

Therefore, the apprentice produced 18 parts in 3 hours.

Now, let's calculate the number of parts produced by the master: Master's parts = x + 24 = 18 + 24 = 42

Therefore, the master produced 42 parts in 7 hours, while the apprentice produced 18 parts in 3 hours.

Answer

The master produced 42 parts in 7 hours, while the apprentice produced 18 parts in 3 hours.