Question

Для библиотеки требуется переплести 3240 книг первая мастерская сможет выполнить заказ за 12 дней вторая за 15 а третья зв 20 дней за сколько дней выполнят этот заказ все мастерские работая одновременно

Answer 1

3240:12 = 270 (книг) в день выполняет 1 мастерская
3240:15  = 216 (книг) в день выполняет 2 мастерская
3240:20 = 162 (книги) в день выполняет 3 мастерская
270+216+162=648 (книг) в день выполнят 3 мастерские одновременно
3240:648 = 5 (дней) понадобится мастерским чтобы переплести все книги

Answer 2

Calculation of the Time Required to Bind 3,240 Books

To calculate the time required to bind 3,240 books when three workshops are working simultaneously, we need to determine the combined efficiency of all the workshops.

Let's denote the efficiency of the first workshop as W1, the efficiency of the second workshop as W2, and the efficiency of the third workshop as W3. The efficiency of a workshop represents the number of books it can bind in one day.

Given the following information: - Workshop 1 can bind the books in 12 days. - Workshop 2 can bind the books in 15 days. - Workshop 3 can bind the books in 20 days.

To find the combined efficiency, we can calculate the reciprocal of the time taken by each workshop to bind one book. This reciprocal represents the fraction of work each workshop can complete in one day.

The combined efficiency can be calculated using the formula:

Combined Efficiency = 1 / (1/W1 + 1/W2 + 1/W3)

Let's substitute the values:

Combined Efficiency = 1 / (1/12 + 1/15 + 1/20)

Calculating the combined efficiency:

Combined Efficiency = 1 / (0.0833 + 0.0667 + 0.05) = 1 / 0.2 = 5

Therefore, the combined efficiency of all three workshops is 5.

To find the time required to bind 3,240 books, we can divide the total number of books by the combined efficiency:

Time Required = Total Number of Books / Combined Efficiency

Time Required = 3,240 / 5 = 648 days

Therefore, it will take all three workshops working simultaneously approximately 648 days to bind 3,240 books.

Please note that this calculation assumes that the efficiency of each workshop remains constant throughout the entire process and that there are no other factors that may affect the binding time.