Question

Одна машинистка может напечатать всю рукопись за 12 часов, а другая на нее потратит на 25% больше времени, чем первая. За сколько часов они напечатают эту рукопись при совместной работе?

Answer 1

Время работы второй машинистки равно 12+0.25*12=15 ч. Тогда ее скорость=1/15 рук/ч. А скорость первой=1/12 рук/ч. Общая скорость=(1/15)+(1/12)=(12+15)/180=17/180. А время работы=1делить на 17/180=180/17 приблизительно 10,5 часа им понадобится

Answer 2

Problem Analysis

We are given that one typist can type an entire manuscript in 12 hours, while another typist takes 25% more time than the first typist. We need to determine how long it will take for them to type the manuscript together.

Solution

Let's assume that the first typist can type the manuscript in 12 hours. The second typist takes 25% more time, which means they take 25% longer than 12 hours. To find the exact time, we can calculate 25% of 12 hours and add it to the original 12 hours.

25% of 12 hours = 0.25 * 12 hours = 3 hours

So, the second typist takes an additional 3 hours compared to the first typist.

To find the total time it will take for them to type the manuscript together, we need to add the time taken by both typists.

Total time = Time taken by the first typist + Time taken by the second typist

Total time = 12 hours + 3 hours = 15 hours

Therefore, it will take them 15 hours to type the manuscript together.

Answer

They will be able to type the manuscript together in 15 hours.