Question

За 30 дней Петя и вова строят 61 домов. Если Петя повысит свою производительность на 20 %, то за 30 дней совместной работы они построят 66 домов. Сколько домов построят они за 30 дней совместной работы , если Петя еще раз повысит свою производительность на 20 %.

Answer 1

Пишу просто извени сил нет.

30 дней-61 дом

20%-? домов,66домов.

40 % к первонач производ. Пети-? домов вместе

1)66-61=5 (домов)-20%

2)5+5=10(домов)-40%

3)61+10=71(дом)

Ответ:71 дом построят Петя и Вова за 30 дней.

 

Удачи в учёбе!!!!!

Answer 2

Problem Analysis

We are given that Petya and Vova build 61 houses in 30 days. If Petya increases his productivity by 20%, they will build 66 houses in 30 days. We need to determine how many houses they will build in 30 days if Petya increases his productivity by an additional 20%.

Solution

Let's assume Petya's initial productivity is represented by x houses per day.

According to the given information, Petya and Vova build 61 houses in 30 days, so their combined productivity is 61/30 = 2.033 houses per day.

If Petya increases his productivity by 20%, his new productivity will be 1.2x houses per day.

According to the given information, if Petya increases his productivity by 20%, they will build 66 houses in 30 days, so their combined productivity will be 66/30 = 2.2 houses per day.

We can set up the following equation to solve for x:

x + Vova's productivity = 2.033 houses per day (Equation 1)

And the following equation to solve for the new combined productivity:

1.2x + Vova's productivity = 2.2 houses per day (Equation 2)

By solving these two equations simultaneously, we can find the values of x and Vova's productivity.

Detailed Solution

Let's solve the equations:

x + Vova's productivity = 2.033 houses per day (Equation 1)

1.2x + Vova's productivity = 2.2 houses per day (Equation 2)

Subtracting Equation 1 from Equation 2, we get:

1.2x - x = 2.2 - 2.033

Simplifying, we have:

0.2x = 0.167

Dividing both sides by 0.2, we get:

x = 0.835

So, Petya's initial productivity is 0.835 houses per day.

Now, we need to find the new combined productivity when Petya increases his productivity by an additional 20%.

Petya's new productivity will be 1.2 * 0.835 = 1.002 houses per day.

Therefore, the new combined productivity will be 1.002 + Vova's productivity = 2.2 houses per day.

Subtracting Petya's new productivity from the combined productivity, we get:

Vova's productivity = 2.2 - 1.002

Simplifying, we have:

Vova's productivity = 1.198 houses per day.

Now, we can calculate the number of houses they will build in 30 days with Petya's increased productivity:

Number of houses = (Petya's productivity + Vova's productivity) * 30

Substituting the values, we get:

Number of houses = (1.002 + 1.198) * 30

Simplifying, we have:

Number of houses = 2.2 * 30

Calculating, we find:

Number of houses = 66 houses

Therefore, Petya and Vova will build 66 houses in 30 days if Petya increases his productivity by an additional 20%.

Answer

Petya and Vova will build 66 houses in 30 days if Petya increases his productivity by an additional 20%.