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 заказ вторая мастерская?

Answer 1

300:15=20 форм шила первая мастерская в день
20*6=120 форм сшила первая мастерская за 6 дней
300-120=180 форм сшила вторая мастерская за 6 дней
180:6=30 форм сшила вторая мастерская в день
300:30=10 дней может выполнить заказ вторая мастерская

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 order.

Solution

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

The rate at which the first workshop completes the order is 1 form per 15 days.

The rate at which the second workshop completes the order is 1 form per x days.

When the two workshops work together, their combined rate is 1 form per 6 days.

Using the concept of work rates, we can set up the following equation:

1/15 + 1/x = 1/6

To solve for x, we can multiply both sides of the equation by 30x:

2x + 30 = 5x

Simplifying the equation:

3x = 30

x = 10

Therefore, the second workshop can complete the order in 10 days.

Conclusion

The second workshop can complete the order in 10 days.