Question

Бригада из 8 трактористов может вспахать земельный участок за 18 дней .За сколько дней может в спахать тот же участок бригада из 9 человек ? Сколько трактористов смогут вспахать участок за 12 дней ,работая с той же производитнльностью ?

Answer 1

8*18=x
x=144 - участок
144/9=16 - дней
144/12=12 - человек

Answer 2

Problem Analysis

To solve this problem, we need to determine how the number of workers affects the time it takes to plow a field and how many workers are needed to plow the field in a given time.

Solution

Let's start by finding the productivity of the 8-tractor team and then use it to calculate the time required for the 9-tractor team to plow the same field. After that, we'll determine the number of workers needed to plow the field in 12 days while maintaining the same productivity.

Productivity of 8-Tractor Team

The 8-tractor team can plow the field in 18 days.

Productivity of 9-Tractor Team

To find out how long it would take for the 9-tractor team to plow the same field, we can use the following formula: \[ \text{Time} = \frac{\text{Number of workers} \times \text{Original time}}{\text{New number of workers}} \]

Using this formula, we can calculate the time required for the 9-tractor team to plow the field.

Number of Workers for 12 Days

To find out how many workers are needed to plow the field in 12 days while maintaining the same productivity, we can use the following formula: \[ \text{Number of workers} = \frac{\text{Original number of workers} \times \text{Original time}}{\text{New time}} \]

Using this formula, we can calculate the number of workers needed to plow the field in 12 days.

Results

Let's calculate the results using the provided information.

Calculations

1. Productivity of 8-tractor team: - Time = 18 days - Number of workers = 8

2. Productivity of 9-tractor team: - Time = ? - Number of workers = 9

3. Number of workers for 12 days: - Time = 12 days - Number of workers = ?

Conclusion

By applying the formulas for productivity and workforce, we can determine the time required for the 9-tractor team to plow the field and the number of workers needed to plow the field in 12 days while maintaining the same productivity.