Question

Бригада из трех операторов, работая по 6 ч в день, за 4 дня перепечатала 700 страниц. На сколько человек нужно увеличить бригаду, чтобы она смогла перепечатать 350 страниц за 2 дня, работая по 2 ч в день? Считайте, что производительность работы всех операторов одна и та же.

Answer 1

Что бы получить обычную пропорцию мы должны эти 6часов умножить на 4 дня и умножить на 700 страниц и получится 16800 также со вторым  получится 1400 вот и решаем
3 оператора-16800
х операторов-1400 это обратная пропорция  тоесть  
$\frac{3}{x} = \frac{1400}{16800}$
3*16800/1400=36 человек 
36-3=33 операторов нужно
Ответ:33 оператора

Answer 2

Problem Analysis

To solve this problem, we need to determine the number of additional operators required to increase the brigade's capacity to transcribe 350 pages in 2 days, working 2 hours per day. The current capacity is to transcribe 700 pages in 4 days, working 6 hours per day.

Calculation

Let's calculate the current rate of transcription per operator per hour and then use it to find the number of additional operators required.

The current rate of transcription per operator per hour can be calculated as follows: - Current rate = Total pages transcribed / (Number of operators * Number of hours)

The new rate of transcription per operator per hour can be calculated as follows: - New rate = Total pages transcribed / (New number of operators * New number of hours)

We can then use the ratio of the new rate to the current rate to find the number of additional operators required.

Solution

The current rate of transcription per operator per hour is: - Current rate = 700 / (3 * 6) = 700 / 18 = 38.89 pages per hour per operator

The new rate of transcription per operator per hour is: - New rate = 350 / (x * 2) = 175 / x, where x is the new number of operators

We can set up the equation: - 175 / x = 38.89

Solving for x: - x = 175 / 38.89 - x ≈ 4.5

Conclusion

To transcribe 350 pages in 2 days, working 2 hours per day, the brigade needs to increase by approximately 4.5 operators. Since we can't have a fraction of an operator, the brigade needs to increase by 5 operators to achieve the desired transcription rate.