Question

Библиотеке нужно переплести 1200 книг.первая мастерская может переплести это количество книг за 3 дня ,а вторая за 6 дней.за сколько дней переплетут 1200 книг обе мастерские.если будут работать вместе?

Answer 1

1200:3=400 книг в день переплетает 1 мастерская
1200:6=200 книг в день переплетает 2 мастерская
200+400=600 книг в день переплетают обе мастерские
1200:600=2 дня

Answer 2

Problem Analysis

We are given that there are two workshops that can bind books. The first workshop can bind 1200 books in 3 days, and the second workshop can bind the same number of books in 6 days. We need to determine how many days it will take for both workshops to bind 1200 books if they work together.

Solution

To find the number of days it will take for both workshops to bind 1200 books, we can calculate their combined work rate.

Let's assume that the first workshop's work rate is represented by W1 (books per day) and the second workshop's work rate is represented by W2 (books per day).

We are given that the first workshop can bind 1200 books in 3 days, so we can calculate its work rate as:

W1 = 1200 books / 3 days = 400 books per day.

Similarly, we are given that the second workshop can bind 1200 books in 6 days, so its work rate is:

W2 = 1200 books / 6 days = 200 books per day.

To find the combined work rate of both workshops, we can add their individual work rates:

Combined work rate = W1 + W2 = 400 books per day + 200 books per day = 600 books per day.

Now, we can calculate the number of days it will take for both workshops to bind 1200 books by dividing the total number of books by the combined work rate:

Number of days = 1200 books / 600 books per day = 2 days.

Therefore, it will take both workshops 2 days to bind 1200 books if they work together.

Answer

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

Please let me know if you need any further assistance.