Question

Две бригады паркетчиков работают с одинаковой производительностью. 1-я бригада работала 16ч. 2-я работала 36 ч и уложила на 2160 дм кв паркета больше .сколько кв дм уложила каждая бригада .

Answer 1

36-12 =20 на столько часов вторая больше работала
2160:20=108 кв дм паркета укладывается в час
108*16=1728 кв дм паркета уложила первая бригада
1728+2160=3888 уложила вторая бригада

Answer 2

Calculation of the Amount of Parquet Laid by Each Brigade

To determine the amount of parquet laid by each brigade, we need to compare the working hours and the additional area laid by the second brigade.

Let's assume that both brigades have the same productivity rate.

The first brigade worked for 16 hours, and the second brigade worked for 36 hours and laid an additional 2160 square decimeters (dm²) of parquet.

To find out how much parquet each brigade laid, we can set up a proportion:

16 hours of work by the first brigade = x hours of work by the second brigade

x square decimeters (dm²) of parquet laid by the first brigade = 2160 square decimeters (dm²) of parquet laid by the second brigade

We can solve this proportion by cross-multiplying:

16 * (2160 + x) = 36 * x

Let's solve this equation to find the value of x, which represents the number of hours worked by the second brigade:

16 * 2160 + 16 * x = 36 * x

34560 + 16x = 36x

34560 = 36x - 16x

34560 = 20x

x = 34560 / 20

x = 1728

Therefore, the second brigade worked for 1728 hours.

Now, let's calculate the amount of parquet laid by each brigade:

The first brigade worked for 16 hours, so the amount of parquet laid by the first brigade is:

16 hours * x square decimeters (dm²) = 16 * x = 16 * 1728 = 27,648 square decimeters (dm²)

The second brigade worked for 1728 hours and laid an additional 2160 square decimeters (dm²) of parquet, so the total amount of parquet laid by the second brigade is:

1728 hours * x square decimeters (dm²) + 2160 square decimeters (dm²) = 1728 * x + 2160 = 1728 * 1728 + 2160 = 2,986,944 + 2160 = 2,989,104 square decimeters (dm²)

Therefore, the first brigade laid 27,648 square decimeters (dm²) of parquet, and the second brigade laid 2,989,104 square decimeters (dm²) of parquet.

Please note that these calculations assume that both brigades have the same productivity rate.