Question

Две машинистки должны напечатать по 60 стр. каждая. вторая машинистка печатала за один час на 2 стр. меньше чем первая , поэтому закончила работу на 1 час позже. сколько страниц в час печатала первая машинистка

Answer 1

Пусть х страниц в день печатала вторая машинистка, тогда первая успевала напечатать за день х+10 страниц. Вторая работала дольше первой на 120/х-120/(х+10) или 1 день. Составим и решим уравнение:120/х-120/(х+10)=1120х+1200-120х=x^2+10xx^2+10x-1200=0по теореме Виета:х1=30   х2=-40<0 (не подходит)х+10=30+10=40Ответ: первая машинистка за день печатала 40 страниц, а вторая -30 страниц в день.

Answer 2

Problem Analysis

We are given that two typists need to type 60 pages each. The second typist types 2 pages less per hour than the first typist and finishes 1 hour later. We need to find out how many pages per hour the first typist types.

Solution

Let's assume that the first typist types x pages per hour. Since the second typist types 2 pages less per hour, the second typist types (x - 2) pages per hour.

We can set up the following equation based on the given information: ``` 60 / x + 1 = 60 / (x - 2) ``` Simplifying this equation will allow us to solve for x, which represents the number of pages per hour the first typist types.

Detailed Solution

To solve the equation, we can cross-multiply and simplify: ``` 60(x - 2) = 60x + x - 2 60x - 120 = 60x + x - 2 -120 = x - 2 x = -118 ``` However, this solution doesn't make sense in the context of the problem. We cannot have a negative number of pages typed per hour.

Therefore, there is no valid solution to this problem. The given information is contradictory or incomplete.

Note: The given problem may contain errors or inconsistencies. It is always important to carefully analyze the problem and check for any inconsistencies before attempting to solve it.