Question

Мастер планировал ежедневно изготавливать по 24 детали, чтобы выполнить заказ вовремя. Но поскольку он изготавливал ежедневно на 15 деталей больше, то уже за 6 дней до окончания срока работы он изготовил 21 деталь сверх заказа. Сколько дней мастер должен был работать над заказом?

Answer 1

Calculation of the Number of Days the Master Should Have Worked

To determine the number of days the master should have worked on the order, we can use the information provided in the question.

The master planned to produce 24 parts per day to complete the order on time. However, the master actually produced 15 parts more than planned each day. Additionally, 21 extra parts were produced in total, six days before the deadline.

To find the number of days the master should have worked, we can set up the following equation:

(Number of days worked) x (Number of parts produced per day) + (Extra parts produced) = Total number of parts needed

Let's solve the equation step by step:

Let's assume the number of days the master should have worked is represented by x.

The number of parts produced per day is 24 + 15 = 39.

The extra parts produced are 21.

The total number of parts needed is 24x.

Therefore, the equation becomes:

x * 39 + 21 = 24x

To solve for x, we can simplify the equation:

39x + 21 = 24x

Subtracting 24x from both sides:

39x - 24x + 21 = 0

15x + 21 = 0

Subtracting 21 from both sides:

15x = -21

Dividing both sides by 15:

x = -21/15

Simplifying the fraction:

x = -7/5

Therefore, the master should have worked for 7/5 days to complete the order.

Please note that the result is a fraction, which means the master would have needed to work for a fraction of a day to complete the order.