Question

Помогите решить задачу: Первая машинистка печатает 10 страниц в час, вторая - 8 страниц в час.Как разделить между ними 90 страниц рукописи, чтобы они закончили работу одновременно.Пожайлуст оченьнадо.

Answer 1

Первой машинистке 50 стр, а второй 40 стр. Все это они сделают за 5 часов

Answer 2

90:18=5 часов
5*10=50 страниц первой машинистке
5*8=40 страниц второй машинистке

Ответ: 1 машинистка 50 страниц,
            2 машинистка 40 страниц

Answer 3

Problem Analysis

We have two typists, the first one can type 10 pages per hour, and the second one can type 8 pages per hour. We need to divide 90 pages of manuscript between them so that they finish their work at the same time.

Solution

To solve this problem, we can use the concept of the least common multiple (LCM). The LCM of two numbers is the smallest number that is divisible by both numbers. In this case, we want to find the LCM of 10 and 8, which will give us the number of hours it will take for both typists to finish their work simultaneously.

To find the LCM of 10 and 8, we can list the multiples of each number and find the smallest common multiple:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ... Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, ...

From the lists above, we can see that the smallest common multiple of 10 and 8 is 40. This means that it will take 40 hours for both typists to finish their work simultaneously.

Now, we need to divide the 90 pages of manuscript between the two typists. Since they can type a total of 18 pages per hour (10 + 8), we can calculate the number of hours it will take to type 90 pages:

Number of hours = Number of pages / Pages typed per hour Number of hours = 90 / 18 Number of hours = 5

Therefore, it will take 5 hours for both typists to finish typing the 90 pages of manuscript.

To divide the pages between the typists, we can calculate the number of pages each typist will type in 5 hours:

First typist: 10 pages/hour * 5 hours = 50 pages Second typist: 8 pages/hour * 5 hours = 40 pages

So, the first typist will type 50 pages and the second typist will type 40 pages, resulting in a total of 90 pages.

Answer

To divide the 90 pages of manuscript between the two typists so that they finish their work at the same time, the first typist should type 50 pages and the second typist should type 40 pages. They will both finish their work in 5 hours.

I hope this helps! Let me know if you have any further questions.