
Две ремонтные бригады работая вместе отремонтировали выставочный павильон за 13 дней. Зная что
производительность первой бригады составляет 130% от производительности второй определите сколько дней потребовалось бы первой бригаде чтобы самостоятельно отремонтировать этот павильон. ПОМОГИТЕ ПОЖАЛУЙСТА!!!

Ответы на вопрос




Problem Analysis
We are given that two repair teams working together repaired an exhibition pavilion in 13 days. We also know that the productivity of the first team is 130% of the productivity of the second team. We need to determine how many days it would take for the first team to repair the pavilion on their own.Solution
Let's assume that the productivity of the second team is 100 units per day. Since the productivity of the first team is 130% of the second team, the productivity of the first team is 130 units per day.To find the number of days it would take for the first team to repair the pavilion on their own, we can set up the following equation:
Total work done by both teams = Work done by the first team + Work done by the second team
Let's represent the total work done by both teams as W and the number of days it takes for the first team to repair the pavilion on their own as x.
The work done by the first team in 13 days is 130 units/day * 13 days = 1690 units.
The work done by the second team in 13 days is 100 units/day * 13 days = 1300 units.
Therefore, we can write the equation as:
W = 1690 units + 1300 units
Since the total work done by both teams is equal to the work done by the first team alone, we can write:
W = 130 units/day * x days
Setting the two equations equal to each other, we have:
1690 units + 1300 units = 130 units/day * x days
Simplifying the equation, we get:
2990 units = 130 units/day * x days
Dividing both sides of the equation by 130 units/day, we get:
x days = 2990 units / 130 units/day
Calculating the result, we find:
x days ≈ 22.92 days
Therefore, it would take approximately 22.92 days for the first team to repair the pavilion on their own.
Answer
It would take approximately 22.92 days for the first team to repair the exhibition pavilion on their own.

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