Question

Папа выполняет всю работу за 3 ч, а его сын — за 6 ч. Какую часть работы они сделают вместе за 1 час? №2 Один комбайн может убрать поле за 5 дней, другой - за 9 дней. Какую часть поля уберут оба комбайна за 1 день? №3 Мастер делает всю работу за 3 часа, а его ученик – за 6 часов. а) Какую часть работы делает каждый из них за 1 час? б) Какую часть работы сделают они вместе за 1 час? в) За сколько времени сделают они всю работу, если будут работать совместно?

Answer 1

Ответ:11/28

Пошаговое объяснение:

1)1/4 -часть работы за 1 ч рабочего.

2)1/7 -часть работы за 1 ч ученика.

3)1/4+1/7=7/28+4/28=11/28-работы они сделают за 1 ч.

Answer 2

Question 1: Папа выполняет всю работу за 3 ч, а его сын — за 6 ч. Какую часть работы они сделают вместе за 1 час?

To determine the fraction of work they will complete together in 1 hour, we need to calculate the combined work rate of the father and son.

Let's assume that the father's work rate is represented by F (work per hour) and the son's work rate is represented by S (work per hour).

Given that the father completes the entire job in 3 hours, we can say that his work rate is 1/3 of the job per hour: F = 1/3.

Similarly, the son completes the entire job in 6 hours, so his work rate is 1/6 of the job per hour: S = 1/6.

To find the combined work rate, we add the individual work rates: F + S = 1/3 + 1/6 = 1/2.

Therefore, the father and son together will complete 1/2 of the work in 1 hour.

Question 2: Один комбайн может убрать поле за 5 дней, другой - за 9 дней. Какую часть поля уберут оба комбайна за 1 день?

To determine the fraction of the field that both combines will harvest in one day, we need to calculate the combined harvesting rate of the two combines.

Let's assume that the first combine's harvesting rate is represented by C1 (field per day) and the second combine's harvesting rate is represented by C2 (field per day).

Given that the first combine can harvest the entire field in 5 days, we can say that its harvesting rate is 1/5 of the field per day: C1 = 1/5.

Similarly, the second combine can harvest the entire field in 9 days, so its harvesting rate is 1/9 of the field per day: C2 = 1/9.

To find the combined harvesting rate, we add the individual harvesting rates: C1 + C2 = 1/5 + 1/9 = 14/45.

Therefore, both combines together will harvest 14/45 of the field in one day.

Question 3: Мастер делает всю работу за 3 часа, а его ученик – за 6 часов.

a) Какую часть работы делает каждый из них за 1 час? b) Какую часть работы сделают они вместе за 1 час? c) За сколько времени сделают они всю работу, если будут работать совместно?

a) To determine the fraction of work each of them completes in 1 hour: - The master completes the entire job in 3 hours, so he completes 1/3 of the job per hour. - The apprentice completes the entire job in 6 hours, so he completes 1/6 of the job per hour.

b) To determine the fraction of work they will complete together in 1 hour, we need to calculate the combined work rate of the master and apprentice: - The combined work rate is the sum of their individual work rates: 1/3 + 1/6 = 1/2. - Therefore, they will complete 1/2 of the work together in 1 hour.

c) To determine how long it will take them to complete the entire job if they work together: - Since the master completes the entire job in 3 hours, his work rate is 1/3 of the job per hour. - Similarly, the apprentice completes the entire job in 6 hours, so his work rate is 1/6 of the job per hour. - To find the combined work rate, we add their individual work rates: 1/3 + 1/6 = 1/2. - Therefore, they will complete the entire job in 2 hours if they work together.

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