Question

Одна бригада может собрать весь урожай ягод с участка площадью 48 соток за 6 дней а другая- за 3 дня.за сколько дней собрали бы весь урожай с этого участка обе бригады при совместной работе

Answer 1

1 способ:

1) 48 : 6 = 8 соток/дней производительность первой бригады
2) 48 : 3 = 16 соток/день производительность второй бригады
3) 8 + 16 = 24 сотки/день общая производительность бригад
4) 48 : 24 = 2 дня за столько уберут работая вместе

2 способ:

1) 1/6 + 1/3 = 1/6 + 2/6 = 3/6 = 1/2 общая производительность
2) 1 : 1/2 = 1 * 2 = 2 дня

Answer 2

Calculating Harvest Time for Both Brigades

To calculate the time it would take for both brigades to harvest the entire crop from the 48-acre plot when working together, we can use the concept of "work done per unit time."

Let's denote the rate of work done by the first brigade as R1 (in acres per day) and the rate of work done by the second brigade as R2 (in acres per day).

Given: - Brigade 1 can harvest the entire 48-acre plot in 6 days. - Brigade 2 can harvest the entire 48-acre plot in 3 days.

We can calculate the rates of work done by each brigade using the formula: \[ \text{Rate} = \frac{\text{Work}}{\text{Time}} \]

So, - R1 = 48 acres / 6 days = 8 acres/day - R2 = 48 acres / 3 days = 16 acres/day

When working together, their combined rate of work is the sum of their individual rates: \[ \text{Combined Rate} = R1 + R2 = 8 acres/day + 16 acres/day = 24 acres/day \]

To find the time it would take for both brigades to harvest the entire crop when working together, we can use the formula: \[ \text{Time} = \frac{\text{Work}}{\text{Rate}} \]

Substituting the given work (48 acres) and the combined rate (24 acres/day): \[ \text{Time} = \frac{48 \text{ acres}}{24 \text{ acres/day}} = 2 \text{ days} \]

Therefore, when working together, both brigades would be able to harvest the entire crop from the 48-acre plot in 2 days.