Question

Пожалуйста помогите решить, очень надо! За 6 часов работы ученик сделал столько же деталий, сколько мастер за 4 часа. Известно, мастер изготовлял в час на 5 деталей больше, чем ученик. Сколько деталей в час изготовлял ученик?

Answer 1

ученик ----- 6 час
мастер ---- 4 часа
число дет всего --- равное 
мастер в час ---? дет, но на 5 >уч.
ученик в час --- ? дет.
Решение.

1. А р и ф м е т и ч е с к и й   с п о с о б.
5 * 4 = 20 (дет.) ----- настолько за 4 часа больше сделает мастер, чем ученик за то же время.
6 - 4 = 2 (часа) ---- нужно больше работать ученику, чтобы компенсировать разницу в деталях.
20 : 2 = 10 (дет.) ---- делает ученик в час.
Ответ: 10 деталей 
Проверка: 10*6 = (10+5)*4 ; 60=60

2. А л г е б р а и ч е с к и й   с п о с о б.
Х дет. ------ делает ученик в час
(Х+5) дет. ----- делает мастер в час.
6Х дет. ---- сделает ученик за 6 часов.
4(Х+5) дет. ---- сделает мастер за 4 часа
6Х = 4(Х+5) ------ по условию.
6Х = 4Х + 20
6Х - 4Х = 20
2Х = 20
Х=10 (дет).
Ответ:10 деталей делает ученик в час.

Answer 2

Problem Analysis

We are given that a student made the same number of parts in 6 hours as a master made in 4 hours. The master made 5 more parts per hour than the student. We need to find out how many parts the student made per hour.

Solution

Let's assume that the student made x parts per hour. According to the given information, the master made x + 5 parts per hour.

We can calculate the total number of parts made by the student in 6 hours by multiplying the number of parts made per hour (x) by the number of hours (6). Similarly, we can calculate the total number of parts made by the master in 4 hours by multiplying the number of parts made per hour (x + 5) by the number of hours (4).

Since the student made the same number of parts in 6 hours as the master made in 4 hours, we can set up the following equation:

6x = 4(x + 5)

Now, let's solve this equation to find the value of x, which represents the number of parts made by the student per hour.

Calculation

Expanding the equation:

6x = 4x + 20

Subtracting 4x from both sides:

2x = 20

Dividing both sides by 2:

x = 10

Answer

The student made 10 parts per hour.

Explanation

According to the given information, the student made the same number of parts in 6 hours as the master made in 4 hours. The master made 5 more parts per hour than the student. By solving the equation, we found that the student made 10 parts per hour.