Question

Ученику и мастеру дано задание изготовить одинаковое количество деталей. Мастер изготовляя 18 деталей в час, затратил на выполнение задания на 3ч меньше , чем ученик, который изготавливал лишь 12 деталей в час. Сколько деталей было заказано?

Answer 1

 x--- время затратил ученик
x-3 ---- время затратил мастер
1) 12x--- изготовил ученик
18(х-3)---- изготовил мастер деталей.
Составляем уравнение: т.к. количество деталей одинаковое по заданию,то
  18(х-3)=12х
решаем уравнение..
18х-54=12х
18х-12х=54
 6х=54
 х=9(часов затратил ученик)
12х=12*9=108(Изготовил ученик)
Мастер тоже 108.
Всего деталей было заказано 216!!!

Answer 2

Task Analysis

To solve this problem, we need to determine the number of parts that were ordered. We are given that the master can produce 18 parts per hour and took 3 hours less than the student, who can produce 12 parts per hour.

Solution

Let's assume that the number of parts ordered is x.

The master can produce 18 parts per hour, so the time taken by the master to complete the order is x / 18 hours.

The student can produce 12 parts per hour, so the time taken by the student to complete the order is x / 12 hours.

According to the problem, the master took 3 hours less than the student to complete the order. Therefore, we can set up the following equation:

x / 18 = x / 12 + 3

To solve this equation, we can multiply both sides by the least common multiple (LCM) of 18 and 12, which is 36:

36 * (x / 18) = 36 * (x / 12 + 3)

Simplifying the equation:

2x = 3x + 108

x = 108

Therefore, the number of parts that were ordered is 108.

Answer

The number of parts that were ordered is 108.