майстер виготовив 75 деталей за 3 години ,а один з його учнів 40 деталей за 2 години , а другий
учень 45 деталей за 3 години. За скільки годин вони втрьох виготовлять 240 деталей?Ответы на вопрос
Ответ:
Вони втрьох виготовлять 240 деталей за 4 години
Пошаговое объяснение:
1)75:3=25-майстер за годину
2)40:2=20-перший учень за годину
3)45:3=15-другий учень за годину
4)25+15+20=60-усі разом за годину
5)240:60=4
Problem Analysis
We are given the information that a master craftsman can produce 75 parts in 3 hours, one of his students can produce 40 parts in 2 hours, and another student can produce 45 parts in 3 hours. We need to determine how many hours it will take for the three of them to produce 240 parts.
Solution
To solve this problem, we can calculate the combined production rate of the master craftsman and his two students. Then, we can use this combined rate to find the time it will take to produce 240 parts.
Let's calculate the combined production rate:
- The master craftsman produces 75 parts in 3 hours, so his production rate is 75 parts / 3 hours = 25 parts per hour. - The first student produces 40 parts in 2 hours, so his production rate is 40 parts / 2 hours = 20 parts per hour. - The second student produces 45 parts in 3 hours, so his production rate is 45 parts / 3 hours = 15 parts per hour.
Now, let's calculate the combined production rate of the master craftsman and his two students:
- Combined production rate = master craftsman's rate + first student's rate + second student's rate - Combined production rate = 25 parts per hour + 20 parts per hour + 15 parts per hour = 60 parts per hour.
To find the time it will take to produce 240 parts, we can use the formula:
- Time = Quantity / Rate
Substituting the values, we have:
- Time = 240 parts / 60 parts per hour = 4 hours.
Therefore, it will take the master craftsman and his two students 4 hours to produce 240 parts.
Answer
The master craftsman and his two students will take 4 hours to produce 240 parts.
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