Question

нужно выполнить заказ: сшить 36 костюмов. одна швея сможет сшить их за 6 дней, а другая за 12 дней. за сколько дней выполнят эту работу обе швеи, если будут работать вместе?

Answer 1

36 - костюмов всего

1 швея -  6 дней

2 швея - 12 дней

Узнаем, сколько костюмов в день делает 1 швея:

1) 36:6=6 (кост.)

Узнаем, сколько костюмов в день делает 2 швея:

2) 36:12=3 (кост.)

Узнаем, сколько в сумме делают костюмов 2 швеи за день:

3) 6+3=9 (кост.)

Узнаем, сколько дней понадобится двум швеям:

4) 36:9= 4 (дн.)

Ответ: за 4 дня 2 швеи изготовят 36 костюмов.

Answer 2

Ответ: За 4 дня

Пошаговое объяснение:

Первая шьет по 6 костюмов в день ( 36 делим на 6=6)

Вторая - по 3 костюма в день (36/12=3)

Если они будут работать вместе, значит за один день у них выйдет 9 костюмов (6+3=9)

Нам нужно 36 костюмов. Значит 36 делим на 9. получается 4

За 4 дня две швеи сошьют 36 костюмов

Answer 3

Problem Analysis

To determine how long it will take for both seamstresses to complete the order of sewing 36 suits, we need to consider the individual sewing rates of each seamstress and their combined rate when working together.

Individual Sewing Rates

- Seamstress 1 can sew 1 suit in 6 days. - Seamstress 2 can sew 1 suit in 12 days.

Combined Sewing Rate

When both seamstresses work together, their combined sewing rate can be calculated by adding their individual rates.

Let's calculate the combined sewing rate:

Calculation

- Seamstress 1's sewing rate: 1 suit / 6 days - Seamstress 2's sewing rate: 1 suit / 12 days

To find the combined sewing rate, we add the individual rates:

Combined sewing rate = Seamstress 1's sewing rate + Seamstress 2's sewing rate

Substituting the values:

Combined sewing rate = 1/6 + 1/12 suits per day

Simplifying the expression:

Combined sewing rate = 2/12 + 1/12 suits per day

Combined sewing rate = 3/12 suits per day

Simplifying the fraction:

Combined sewing rate = 1/4 suits per day

This means that when both seamstresses work together, they can sew 1/4 of a suit per day.

Time to Complete the Order

To determine how long it will take for both seamstresses to complete the order of sewing 36 suits, we divide the total number of suits by the combined sewing rate.

Let's calculate the time:

Calculation

- Total number of suits: 36 suits - Combined sewing rate: 1/4 suits per day

To find the time to complete the order, we divide the total number of suits by the combined sewing rate:

Time = Total number of suits / Combined sewing rate

Substituting the values:

Time = 36 suits / (1/4 suits per day)

Simplifying the expression:

Time = 36 suits * (4/1 suits per day)

Time = 36 * 4 days

Time = 144 days

Therefore, it will take both seamstresses 144 days to complete the order of sewing 36 suits if they work together.

Answer

Both seamstresses will complete the order of sewing 36 suits in 144 days if they work together.