Question

Рукопись в 60 страниц Ирина, работая одна,модет напечатать за 10 часов,а Ольга за 15 часов.За сколько часов напечатают эту рукописьмо Ирина и Ольга,если начнут работу одновременно?

Answer 1

60/10= 6 страниц в час у Ирины
6015=4 страницы в час Ольги
6+4=10 страниц Ольга и Ирина делают за час вместе
60/10=6 ч
ответ за
6 часов

Answer 2

60:10=6 страниц в час Ирина 60:15=4 страниц в час Ольга 6+4=10 страниц в час вместе 60:10=6 часов Ответ:за 6 часов

Answer 3

Problem Analysis

We are given that Irina can type a 60-page manuscript in 10 hours, while Olga can type the same manuscript in 15 hours. We need to determine how long it will take for Irina and Olga to type the manuscript if they start working simultaneously.

Solution

To solve this problem, we can use the concept of work rates. The work rate is defined as the amount of work done per unit of time. In this case, the work is typing the manuscript, and the time is measured in hours.

Let's denote the work rate of Irina as I (in pages per hour) and the work rate of Olga as O (in pages per hour). We can calculate their work rates using the given information:

- Irina's work rate: I = 60 pages / 10 hours = 6 pages per hour - Olga's work rate: O = 60 pages / 15 hours = 4 pages per hour

Now, let's assume that it takes T hours for Irina and Olga to type the manuscript together. During this time, Irina will complete I * T pages of work, and Olga will complete O * T pages of work. Since they are working on the same manuscript, the total work completed should be equal to the total number of pages in the manuscript, which is 60 pages:

I * T + O * T = 60 pages

We can simplify this equation by factoring out T:

T * (I + O) = 60 pages

Now, we can solve for T by dividing both sides of the equation by (I + O):

T = 60 pages / (I + O)

Substituting the values of I and O that we calculated earlier, we can find the value of T:

T = 60 pages / (6 pages per hour + 4 pages per hour) = 60 pages / 10 pages per hour = 6 hours

Therefore, it will take Irina and Olga 6 hours to type the manuscript if they start working simultaneously.

Answer

Irina and Olga will be able to type the 60-page manuscript in 6 hours if they start working on it simultaneously.