Question

Печатая за 1 час 3 страницы больше,чем планировалось ,машинистка перепечатала книгу за 6 часов в место 7 часов по плану.Сколько страниц в книге?

Answer 1

за час по плану = Х страниц

за час быстро = Х+3

по плану всего = 7часов работы

не по плану = 6 часов

тогда:

7Х = 6*(Х+3)

7Х = 6Х + 18

Х = 18

 

всего страниц = 18*7=126

Ответ: ввсего в книге 126 страниц

Answer 2

Calculation of Pages in the Book

To calculate the number of pages in the book, we need to use the information provided. Let's break down the given information step by step:

1. The typist types 3 pages more than planned in 1 hour. 2. The typist completes the book in 6 hours instead of the planned 7 hours.

To find the number of pages in the book, we can set up the following equation:

(Number of pages typed in 1 hour) * (Number of hours taken to complete the book) = Total number of pages in the book

Let's solve this equation using the given information:

(Number of pages typed in 1 hour) * 6 = (Number of pages typed in 1 hour + 3) * 1

Simplifying the equation:

6 * (Number of pages typed in 1 hour) = (Number of pages typed in 1 hour + 3)

Expanding the equation:

6 * (Number of pages typed in 1 hour) = 1 * (Number of pages typed in 1 hour) + 3

Combining like terms:

6 * (Number of pages typed in 1 hour) - 1 * (Number of pages typed in 1 hour) = 3

Simplifying further:

5 * (Number of pages typed in 1 hour) = 3

Dividing both sides by 5:

(Number of pages typed in 1 hour) = 3/5

Therefore, the typist types 3/5 of a page in 1 hour.

To find the total number of pages in the book, we can multiply the number of pages typed in 1 hour by the number of hours taken to complete the book:

(Number of pages typed in 1 hour) * (Number of hours taken to complete the book) = Total number of pages in the book

(3/5) * 6 = Total number of pages in the book

Simplifying the equation:

(3/5) * 6 = 18/5 = 3.6

Therefore, the book has approximately 3.6 pages.

Please note that the result is an approximation since it is not possible to have a fraction of a page in a book.