Question

Девять человек выполнили работу за 12 дней при семичасовом рабочем дне.За какое время ту же самую работу десять человек привосьми часовом рабочем дне, если часовая производительность труда повысится на 20%

Answer 1

производительность человека ((1/12)/7)/9 работы-в-час

повышаем производительность в 1.2 раза, умножаем на 8 часов - получаем количество работы на одного человека в день. множим на 10 человек - получаем скорость работы бригады:

10 * 1.2 * 8 * ((1/12)/7)/9 (работы-в-день)

 

теперь делим 1 работу на эту скорость работы бригады - получаем количество дней:

 

1 / ( 10 * 1.2 * 8 * ((1/12)/7)/9 ) = 12 * 7 * 9 / (10 * 1.2 * 8) = 7 * 9 / 8 = 7 7/8

ну то есть за 8 дней справятся

 

Answer 2

Calculation of Time Required for the Task

To calculate the time required for the task, we can use the formula:

Time = (Number of People * Number of Days * Number of Hours per Day) / Productivity

Given that 9 people completed the task in 12 days with a 7-hour workday, we can calculate the productivity as follows:

Productivity = (9 * 12 * 7) / (12 * 7) = 9

Now, we need to find the time required for 10 people with an 8-hour workday and a 20% increase in productivity.

Calculation with Increased Productivity

To calculate the time required with increased productivity, we need to consider the 20% increase in productivity.

The new productivity can be calculated as:

New Productivity = Productivity + (Productivity * 20%) = 9 + (9 * 0.2) = 10.8

Using the formula mentioned earlier, we can calculate the time required:

Time = (Number of People * Number of Days * Number of Hours per Day) / New Productivity

Time = (10 * x * 8) / 10.8

To find the value of 'x', we can rearrange the equation:

x = (Time * New Productivity) / (Number of People * Number of Hours per Day)

Substituting the given values:

x = (12 * 10.8) / (10 * 8) = 1.62 days

Therefore, with 10 people working 8 hours per day and a 20% increase in productivity, the same task can be completed in approximately 1.62 days.

Please note that the calculations provided are based on the information given and assumptions made.