Question

Бассейн имеет размеры 12 м на 25 м. Рабочий-плиточник выкладывает плиткой 3 м 2 в день.Сколько дней нужно рабочему, что бы выложить плиткой пол в бассейне?За сколько времени выполнит эту работу бригада из 5 рабочих при условии, что они работают с одинаковой скоростью?Две бригады выполнили эту работу за 12 дней.Одна бригада выкладывала 14 м2 в день.Какова производительность второй бригады Все задачи истикают друг от друга

Answer 1

1) 12*25=300 м² - площадь бассейна
2) 300:3=100 дней - нужно одному рабочему
3) 3*5=15 м² - будут выкладывать 5 рабочих в день
4) 300:15=20 дней нужно 5-ти рабочим
5) 14*12=168 м² - выложила одна бригада за 12 дней
6) 300-168=132 м² - выложила вторая бригада за 12 дней
7) 132:12=11 м² в день - производительность второй бригады

Answer 2

Problem Analysis

We have been given the dimensions of a pool (12m x 25m) and the rate at which a worker can lay tiles (3m² per day). We need to determine how many days it will take for the worker to tile the entire pool. Additionally, we are given that a team of 5 workers, working at the same rate, can complete the job in 12 days. One of the teams can lay 14m² of tiles per day, and we need to find the productivity of the second team.

Solution

To find the number of days it will take for a single worker to tile the entire pool, we can calculate the total area of the pool and divide it by the worker's daily tile-laying rate.

The area of the pool is given by the formula: Area = Length x Width.

Substituting the given values, we have: Area = 12m x 25m = 300m².

Now, we can calculate the number of days it will take for a single worker to tile the entire pool by dividing the total area by the worker's daily tile-laying rate:

Number of days = Total area / Daily tile-laying rate = 300m² / 3m²/day = 100 days.

Therefore, it will take a single worker 100 days to tile the entire pool.

Next, we need to find the productivity of the second team. We are given that two teams, working at the same rate, can complete the job in 12 days. Let's assume the productivity of the second team is x m²/day.

The productivity of the first team is given as 14m²/day. Therefore, the combined productivity of both teams is 14m²/day + x m²/day.

We can calculate the total area of the pool using the formula: Area = Length x Width = 12m x 25m = 300m².

Since both teams can complete the job in 12 days, the total area of the pool divided by the combined productivity of both teams should be equal to 12:

Total area / (14m²/day + x m²/day) = 12 days.

Substituting the value of the total area (300m²), we have:

300m² / (14m²/day + x m²/day) = 12 days.

To find the value of x, we can solve this equation:

300m² = 12 days * (14m²/day + x m²/day).

Simplifying the equation, we have:

300m² = 168m²/day + 12 days * x m²/day.

Rearranging the equation to solve for x, we have:

x m²/day = (300m² - 168m²/day) / 12 days.

Simplifying further, we get:

x m²/day = 132m² / 12 days = 11m²/day.

Therefore, the productivity of the second team is 11m²/day.

To summarize: - It will take a single worker 100 days to tile the entire pool. - The productivity of the second team is 11m²/day.

Answer

To tile the entire pool, a single worker will need 100 days. The productivity of the second team is 11m²/day.