Question

Две мастерские,работая одновременно,сшили 300 одинаковых форм для школы за 6 дней. Первая мастерская самостоятельно может выполнить этот заказ за 15 дней. За сколько дней может выполнить этот же заказ вторая мастерская?

Answer 1

300/15=20 костюмов в день шила 1 мастерская
20*6=120 костюмов сшила 1 мастерская за 6 дней
300-120=180 костюмов сшила 2 мастерская за 6 дней
180/6=30 костюмов сшила 2 мастерская в день
300/30=10 дней потребовалось 2 мастерской чтобы сшить 300 костюмов
ответ:10

Answer 2

Problem Analysis

We have two workshops working simultaneously to sew 300 identical forms for a school. The first workshop can complete the order on its own in 15 days. We need to determine how many days it would take for the second workshop to complete the same order.

Solution

Let's assume that the second workshop can complete the order in x days.

To find the solution, we can set up a proportion based on the work rates of the two workshops. The work rate is inversely proportional to the time taken to complete the order.

The work rate of the first workshop is 1 form per 15 days, and the work rate of the second workshop is 1 form per x days. Therefore, the proportion can be set up as follows:

1 form / 15 days = 1 form / x days

To solve for x, we can cross-multiply and solve the equation:

1 * x = 1 * 15

Simplifying the equation, we find:

x = 15

Therefore, the second workshop can complete the same order in 15 days.

Conclusion

The second workshop can complete the order of 300 identical forms for the school in 15 days, the same amount of time it takes for the first workshop to complete the order on its own.