Question

мастер за 8 рабочих часов сделал 96 деталей а его ученик за 6 рабочих часов сделал 54 деталей Сколько деталей сделают Мастер и ученик за 2 часа совместной работ

Answer 1

Problem Analysis

We are given that a master can make 96 parts in 8 working hours, and an apprentice can make 54 parts in 6 working hours. We need to determine how many parts the master and the apprentice can make together in 2 hours of working together.

Solution

To solve this problem, we can calculate the individual rates of the master and the apprentice and then add them together to find the combined rate. Finally, we can multiply the combined rate by the total number of hours to find the total number of parts made.

Let's calculate the rates of the master and the apprentice first.

The master can make 96 parts in 8 hours, so his rate is 96 parts / 8 hours = 12 parts per hour.

The apprentice can make 54 parts in 6 hours, so his rate is 54 parts / 6 hours = 9 parts per hour.

Now, let's calculate the combined rate of the master and the apprentice.

The combined rate is the sum of their individual rates: 12 parts per hour + 9 parts per hour = 21 parts per hour.

Finally, let's calculate the total number of parts made by the master and the apprentice in 2 hours of working together.

The total number of parts is the combined rate multiplied by the total number of hours: 21 parts per hour * 2 hours = 42 parts.

Therefore, the master and the apprentice will make 42 parts together in 2 hours of working together.

Answer

The master and the apprentice will make 42 parts together in 2 hours of working together.