Question

1Первая машинистка печатает 10 страниц в час, а вторая за 5часов печатает столько же страниц, сколько первая за 4 часа. Сколько страниц печатают обе машинистки за 3 часа совместной работы2Первый рабочий за один час делает 32 детали, а второй за 4 часа делает столько деталей, сколько первый за 4 часа за сколько часов они сделают вместе 216 деталей?

Answer 1

#1
1)4*10=40(стр)- печатает вторая машинистка за 5ч
2)40:5=8(стр)-печатает вторая машинистка за 1ч
2)(10+8)*3=54(стр)-обе машинистка напечатают за 3 ч

Во второй задаче точно правильное условие?

Answer 2

Task 1: Первая машинистка печатает 10 страниц в час, а вторая за 5 часов печатает столько же страниц, сколько первая за 4 часа. Сколько страниц печатают обе машинистки за 3 часа совместной работы?

To solve this problem, we need to calculate the number of pages each typist can print per hour and then determine the total number of pages they can print together in 3 hours.

Let's start by calculating the number of pages the first typist can print per hour. According to the given information, the first typist can print 10 pages in 1 hour.

Next, we need to find out how many pages the second typist can print in 1 hour. We are told that the second typist can print the same number of pages in 5 hours as the first typist can print in 4 hours. This means that the second typist can print the same number of pages in 1 hour as the first typist can print in 4/5 (or 0.8) hours.

Now, let's calculate the number of pages the second typist can print in 1 hour. If the first typist can print 10 pages in 1 hour, then the second typist can print 10 pages in 0.8 hours. We can calculate this by dividing the number of pages the first typist can print in 1 hour (10 pages) by the time it takes the second typist to print the same number of pages (4/5 hours).

Using this information, we can calculate the number of pages both typists can print together in 1 hour by adding the number of pages each typist can print in 1 hour.

Finally, to find out how many pages both typists can print together in 3 hours, we multiply the number of pages they can print together in 1 hour by 3.

Let's calculate the answer step by step:

1. Number of pages the first typist can print in 1 hour: 10 pages. 2. Number of pages the second typist can print in 1 hour: 10 pages / (4/5 hours) = 12.5 pages. 3. Number of pages both typists can print together in 1 hour: 10 pages + 12.5 pages = 22.5 pages. 4. Number of pages both typists can print together in 3 hours: 22.5 pages * 3 hours = 67.5 pages.

Therefore, both typists can print 67.5 pages in 3 hours of working together.

Task 2: Первый рабочий за один час делает 32 детали, а второй за 4 часа делает столько деталей, сколько первый за 4 часа. За сколько часов они сделают вместе 216 деталей?

To solve this problem, we need to determine how many hours it will take for both workers to produce a total of 216 parts.

Let's start by calculating the number of parts the first worker can produce in 1 hour, which is given as 32 parts.

Next, we need to find out how many parts the second worker can produce in 1 hour. According to the given information, the second worker can produce the same number of parts in 4 hours as the first worker can produce in 4 hours. This means that the second worker can produce the same number of parts in 1 hour as the first worker can produce in 4 hours divided by 4.

Now, let's calculate the number of parts the second worker can produce in 1 hour. If the first worker can produce 32 parts in 1 hour, then the second worker can produce 32 parts in (4/4) hours, which is 1 hour.

Using this information, we can calculate the number of parts both workers can produce together in 1 hour by adding the number of parts each worker can produce in 1 hour.

Finally, to find out how many hours it will take for both workers to produce a total of 216 parts, we divide the total number of parts by the number of parts they can produce together in 1 hour.

Let's calculate the answer step by step:

1. Number of parts the first worker can produce in 1 hour: 32 parts. 2. Number of parts the second worker can produce in 1 hour: 32 parts / (4/4 hours) = 32 parts. 3. Number of parts both workers can produce together in 1 hour: 32 parts + 32 parts = 64 parts. 4. Number of hours it will take for both workers to produce 216 parts: 216 parts / 64 parts = 3.375 hours.

Therefore, it will take both workers approximately 3.375 hours to produce a total of 216 parts when working together.