Question

5) Токар придумав новий спосіб обробки деталей і за 1 годину стар обточувати на 2 деталі більше, ніж передбачалося за планом. Тому дейну норму він виконав не за 8 годин, а за 7 годин. Скільки деталей за нормою повинен обробити токар за день?

Answer 1

Ответ:

Пусть по норме в 1 час должно быть обработано Х деталей, тогда за смену 8Х.

Фактически обрабатывалось (Х+2) деталей в час.Составим обратно пропорциональную зависимость: чем больше деталей обрабатвал, тем меньше времени работал:

Х/(Х+2) = 7 / 8

7Х + 14 = 8Х

7Х - 8Х = - 14

  -Х = - 14

   Х = 14  (деталей в час по норме)   8Х = 8*14 = 112 (деталей за день по норме)

Ответ: 112 деталей по норме должен обработать токарь за день.

Пошаговое объяснение:

Answer 2

The New Method of Machining and Increased Efficiency

The lathe operator (токар) has come up with a new method of machining parts that allows him to process more parts in a given time frame. According to the information provided, he was able to machine 2 more parts in 1 hour than originally planned. As a result, he completed the standard quota in 7 hours instead of the planned 8 hours.

Calculating the Standard Quota

To determine how many parts the lathe operator should process in a day according to the standard quota, we need to calculate the average number of parts processed per hour. Since the operator completed the standard quota in 7 hours, we can divide the total number of parts by the number of hours to find the average number of parts processed per hour.

Let's assume the standard quota is represented by x parts per day.

According to the information provided, the lathe operator machined 2 more parts in 1 hour than originally planned. Therefore, the average number of parts processed per hour is (x + 2) / 7.

Determining the Number of Parts per Day

To find the number of parts the lathe operator should process in a day according to the standard quota, we need to multiply the average number of parts processed per hour by the number of working hours in a day.

Since the lathe operator completed the standard quota in 7 hours, we can multiply the average number of parts processed per hour by 7 to find the number of parts per day.

Therefore, the number of parts the lathe operator should process in a day according to the standard quota is:

Number of parts per day = (x + 2) / 7 * 7

Simplifying the equation, we can see that the number of parts per day is x + 2.

Conclusion

Based on the information provided, the lathe operator should process x + 2 parts per day according to the standard quota.

Please note that the value of x (the original planned number of parts per day) is not provided in the question, so we cannot determine the exact number of parts the lathe operator should process per day.