Question

Библиотеке нужно переплести 1200 книг. первая мастерская может переплести это количество книг за три дня а вторая за 6 дней. за сколько дней переплетут 1200 книг обе мастерские если будут работать вместе

Answer 1

1200 кн 
1-3д
2-6дн

1я за день может перенести 400кн
2я                                              200к 
за день они переносят 600
1200/600=2 дня
ответ 2

Answer 2

Calculating the Time Needed to Bind 1200 Books

To calculate the time needed for both workshops to bind 1200 books, we can use the concept of work done per unit time. Let's denote the rate of work for the first workshop as R1 (in books per day) and the rate of work for the second workshop as R2 (in books per day).

Given: - The first workshop can bind 1200 books in 3 days. - The second workshop can bind 1200 books in 6 days.

We can use the formula: Work = Rate × Time

Calculating the Combined Rate of Work

First, let's calculate the rate of work for each workshop:

- For the first workshop: R1 = 1200 books / 3 days = 400 books per day. - For the second workshop: R2 = 1200 books / 6 days = 200 books per day.

Calculating the Combined Rate of Work

The combined rate of work when both workshops work together is the sum of their individual rates: Combined Rate = R1 + R2

Substituting the values: Combined Rate = 400 books per day + 200 books per day = 600 books per day

Calculating the Time Needed for Both Workshops to Bind 1200 Books Together

Now, we can use the combined rate of work to calculate the time needed for both workshops to bind 1200 books: Time = Total Work / Combined Rate

Substituting the values: Time = 1200 books / 600 books per day = 2 days

Conclusion

Therefore, if both workshops work together, they will be able to bind 1200 books in 2 days.