Question

Помогите решить задачу За 4 ч учениик изготовил 128 деталей.Мастер за 1 час делает на 9 деталей больше ,чем ученик. За сколько часов мастер изготовит 246 деталей?

Answer 1

128:4=32

32+9=41

246:41=6 часов

Answer 2

1.128\4=32(д.)-робить ученик за 1 годину

2.32+9=41(д.)-робить мастер за 1 годину

3.246\41=6(г.)

Відповідь:246 деталей мастер изготовит за 6 часов.

 

Answer 3

Problem Analysis

To solve this problem, we need to determine how many hours it will take the master to make 246 parts, given that the student made 128 parts in 4 hours and the master makes 9 parts more than the student in one hour.

Solution

Let's break down the information given in the problem: - The student made 128 parts in 4 hours. - The master makes 9 parts more than the student in one hour.

To find out how many parts the master can make in one hour, we need to calculate the average number of parts the student made per hour. We can do this by dividing the total number of parts made by the student (128) by the total number of hours worked (4): ``` Average parts made by the student per hour = 128 / 4 = 32 parts per hour ```

Since the master makes 9 parts more than the student in one hour, the master can make: ``` Parts made by the master per hour = Average parts made by the student per hour + 9 = 32 + 9 = 41 parts per hour ```

Now, we need to determine how many hours it will take the master to make 246 parts. We can do this by dividing the total number of parts needed (246) by the number of parts the master can make in one hour (41): ``` Hours needed for the master to make 246 parts = 246 / 41 = 6 hours ```

Therefore, it will take the master 6 hours to make 246 parts.

Answer

The master will be able to make 246 parts in 6 hours.

Verification

Let's verify the solution by calculating the number of parts made by the master in 6 hours: ``` Parts made by the master in 6 hours = Parts made by the master per hour * Hours needed for the master to make 246 parts = 41 * 6 = 246 parts ``` The result matches the total number of parts needed, which confirms that the solution is correct.