Question

5 маляров могли бы покрасить забор за 8 дней.За сколько дней покрасят тот же забор:а)10 маляров;б)1 маляр

Answer 1

Ответ:

а) составим пропорцию для данной задачи :

5 маляров = 8 дней ;

10 маляров = х дней.

Найдем значение х, учитывая то, что забор, который нужно покрасить - это постоянная величина, а также чем будет больше маляров, тем быстрее покрасят забор, тогда пропорция будет обратная :

х = 8 * 5 : 10 = 4 (дней) - необходимо 10 малярам для покраски забора;

б) 5 маляров = 8 дней ;

1 маляр = х дней .

Аналогично варианту б, пропорция будет обратная :

х = 5 * 8 : 1 = 40 (дней) - необходимо 1 маляру для покраски забора.

Answer 2

Problem Statement

There are 5 painters who can paint a fence in 8 days. We need to determine how long it will take to paint the same fence with a) 10 painters and b) 1 painter.

Solution

To solve this problem, we can use the concept of "man-days." A man-day is the amount of work that one person can complete in one day.

Given that 5 painters can paint the fence in 8 days, we can calculate the total man-days required to paint the fence using the formula:

Total man-days = Number of painters * Number of days

Let's calculate the total man-days required for the fence:

For 5 painters in 8 days: Total man-days = 5 painters * 8 days = 40 man-days

Now, let's calculate the number of days required to paint the fence with a) 10 painters and b) 1 painter.

a) 10 painters: To calculate the number of days required with 10 painters, we can rearrange the formula:

Number of days = Total man-days / Number of painters

Substituting the values: Number of days = 40 man-days / 10 painters = 4 days

Therefore, it will take 10 painters 4 days to paint the same fence.

b) 1 painter: To calculate the number of days required with 1 painter, we can again rearrange the formula:

Number of days = Total man-days / Number of painters

Substituting the values: