Question

Мастер и его ученик три часа вытачивали детали. Мастер всё это время работал с производительностью 40 деталей в час, а его ученик за это же время сделал 3/5 работы, выполненной мастером. Сколько всего деталей сделали мастер и его ученик за три часа?

Answer 1

1) 40*3=120 деталей сделал мастер за 3 часа. 2) 120*3:5=72 детали изготовил ученик за 3 часа 3) 120+72=192 детали всего

Answer 2

Problem Analysis

We are given that a master and his apprentice worked for three hours to produce some parts. The master worked at a rate of 40 parts per hour, while the apprentice completed 3/5 of the work done by the master in the same amount of time. We need to determine the total number of parts produced by the master and his apprentice in three hours.

Solution

To solve this problem, we can follow these steps: 1. Calculate the number of parts produced by the master in three hours. 2. Calculate the fraction of work completed by the apprentice in three hours. 3. Calculate the number of parts produced by the apprentice in three hours. 4. Add the number of parts produced by the master and the apprentice to get the total number of parts.

Let's calculate each step in detail.

Step 1: Calculate the number of parts produced by the master in three hours

The master worked at a rate of 40 parts per hour. Therefore, in three hours, the master produced 40 * 3 = 120 parts.

Step 2: Calculate the fraction of work completed by the apprentice in three hours

The apprentice completed 3/5 of the work done by the master in the same amount of time. Therefore, the fraction of work completed by the apprentice is 3/5.

Step 3: Calculate the number of parts produced by the apprentice in three hours

To calculate the number of parts produced by the apprentice, we need to multiply the fraction of work completed by the apprentice by the total number of parts produced by the master.

Fraction of work completed by the apprentice = 3/5 Total number of parts produced by the master = 120

Number of parts produced by the apprentice = (3/5) * 120 = 72 parts

Step 4: Calculate the total number of parts produced by the master and the apprentice in three hours

To calculate the total number of parts produced, we need to add the number of parts produced by the master and the apprentice.

Number of parts produced by the master = 120 parts Number of parts produced by the apprentice = 72 parts

Total number of parts produced = 120 + 72 = 192 parts

Therefore, the master and his apprentice produced a total of 192 parts in three hours.

Answer

The master and his apprentice produced a total of 192 parts in three hours.