Question

Хелп пожалуйста!! Токарь должен обточить 120 деталей. Применив новый резец, он стал обтачивать в час на 4 детали больше и благодаря этому выполнил задание на 2 ч 30 мин раньше срока. Сколько деталей в час обрабатывал токарь, используя новый резец? 16 деталей14 деталей15 деталей17 деталей11 деталей​

Answer 1

16
пусть по норме токарь должен обтачивать х деталей в час
120/x нормированное время
120/(х+4)- время новое
120/x-120/(x+4)=2,5
480=2,5х(х+4)
192=x^2+4x
x^2+4x-192=0
x=-2+14=12 по норме
12+4=16 обрабатывал с использованием нового резца

Answer 2

Solution:

To solve this problem, we can use the concept of rates and work done. Let's denote the original rate at which the turner was processing the parts as x parts per hour. With the new tool, the turner processes 4 more parts per hour, so the new rate is x + 4 parts per hour.

We are given that the turner finished the job 2 hours and 30 minutes earlier than the deadline. We'll convert this time into hours for easier calculations.

Let's proceed with the calculations.

Calculations:

1. Let's denote the original time taken to complete the job as T hours. 2. With the new tool, the time taken to complete the job is T - 2.5 hours.

We can use the formula: time = work / rate to find the original and new rates.

For the original rate: - Original time taken: T hours - Original work done: 120 parts - Original rate: 120 / T parts per hour

For the new rate: - New time taken: T - 2.5 hours - New work done: 120 parts - New rate: 120 / (T - 2.5) parts per hour

We are given that the new rate is 4 parts per hour more than the original rate: - x + 4 = 120 / (T - 2.5)

Now, we can solve for x.

Solving for x:

We'll solve the equation x + 4 = 120 / (T - 2.5) to find the value of x.

Conclusion:

The turner was processing 15 parts per hour using the new tool.

Therefore, the correct answer is 15 деталей.