Question

Зодчий должен был изготовить за день 63 детали Через 2 часа работы ему осталось делать 45 деталей За сколько часов он изготовит оставшиеся детали если выработка за час изменится реши в таблицу

Answer 1

63-45=18дет за 2 часа
18÷2=9дет в час
45÷9=5ч
ответ. за 5 часов изготовит.

Answer 2

Problem Analysis

To solve this problem, we need to determine how many hours it will take for the architect to complete the remaining 45 parts, given that the production rate per hour has changed. We are given that initially, the architect had to manufacture 63 parts in one day (24 hours), and after 2 hours of work, there are still 45 parts left to be made.

Solution

Let's calculate the production rate per hour initially and then use it to find the time required to manufacture the remaining parts.

1. Calculate the initial production rate per hour: - The architect had to manufacture 63 parts in one day (24 hours). - Therefore, the initial production rate per hour is 63 parts / 24 hours.

2. Calculate the number of parts manufactured in the first 2 hours: - The architect has 45 parts remaining after 2 hours of work. - Therefore, the number of parts manufactured in the first 2 hours is 63 parts - 45 parts.

3. Calculate the new production rate per hour: - To find the new production rate per hour, we divide the number of parts manufactured in the first 2 hours by 2 (since it took 2 hours to manufacture those parts). - Therefore, the new production rate per hour is (63 parts - 45 parts) / 2 hours.

4. Calculate the time required to manufacture the remaining parts: - To find the time required to manufacture the remaining 45 parts, we divide the number of remaining parts by the new production rate per hour. - Therefore, the time required to manufacture the remaining parts is 45 parts / (new production rate per hour).

Let's calculate the values:

1. Initial production rate per hour: - Initial production rate per hour = 63 parts / 24 hours.

2. Number of parts manufactured in the first 2 hours: - Number of parts manufactured in the first 2 hours = 63 parts - 45 parts.

3. New production rate per hour: - New production rate per hour = (63 parts - 45 parts) / 2 hours.

4. Time required to manufacture the remaining parts: - Time required to manufacture the remaining parts = 45 parts / (new production rate per hour).

Calculation

Let's calculate the values:

1. Initial production rate per hour: - Initial production rate per hour = 63 parts / 24 hours = 2.625 parts/hour.

2. Number of parts manufactured in the first 2 hours: - Number of parts manufactured in the first 2 hours = 63 parts - 45 parts = 18 parts.

3. New production rate per hour: - New production rate per hour = (63 parts - 45 parts) / 2 hours = 9 parts/hour.

4. Time required to manufacture the remaining parts: - Time required to manufacture the remaining parts = 45 parts / (new production rate per hour) = 5 hours.

Therefore, it will take the architect 5 hours to manufacture the remaining 45 parts, given that the production rate per hour has changed.

Table

| Calculation | Value | | ------------------------------------------- | ------------------- | | Initial production rate per hour | 2.625 parts/hour | | Number of parts manufactured in the first 2 hours | 18 parts | | New production rate per hour | 9 parts/hour | | Time required to manufacture the remaining parts | 5 hours |

Please note that the values in the table are rounded for simplicity.

I hope this helps! Let me know if you have any further questions.