Question

За 6ч один оператор набирает 30 страниц текста,а другой за то же время на 6 страниц меньше. за какое время оба оператора наберут 72 страницы текста,работая вместе?. если можно с пояснениями. спасибо.

Answer 1

1)30/6=5(стр)-набирает оператор за 1 час 2)30-6=24(стр)-разница 3)24/6=4(стр)-набирает 2оператор за 1 час 4)5+4=9(стр)-набирают за 1 час 5)72/9=8(ч) Ответ8 ч

Answer 2

Problem Analysis

We have two operators who can type at different speeds. One operator can type 30 pages of text in 6 hours, while the other operator can type 6 pages less in the same time. We need to find out how long it will take for both operators to type a total of 72 pages of text when working together.

Solution

Let's assume that the slower operator types at a rate of x pages per hour. Therefore, the faster operator types at a rate of (x + 6) pages per hour.

To find the time it takes for both operators to type a total of 72 pages, we can set up the following equation:

6x + 6(x + 6) = 72

Simplifying the equation:

6x + 6x + 36 = 72

12x + 36 = 72

12x = 72 - 36

12x = 36

x = 36 / 12

x = 3

Therefore, the slower operator types at a rate of 3 pages per hour, and the faster operator types at a rate of 9 pages per hour.

To find the time it takes for both operators to type 72 pages, we can divide the total number of pages by the combined typing rate:

Time = Total Pages / Combined Typing Rate

Time = 72 / (3 + 9)

Time = 72 / 12

Time = 6

Therefore, it will take both operators 6 hours to type a total of 72 pages when working together.

Answer

Both operators will take 6 hours to type a total of 72 pages of text when working together.