Question

мастер и его ученик планировали сообща выполнить некоторую работу за 6 дней. Сначало за дело взялся его ученик. Выполнив 20% задания, он заболел. Остальная работа пришлась на долю мастера. В итоге выполнение задания растянулось на 11 дней. За сколько дней мог бы выполнить мастер и за сколько дней ученик, действуя в одиночку, если известно, что и то и другое количество дней выражаются целыми числами?

Answer 1

1) 80/11=7,27% - мастер выполнил за 1 день

2) 100/7,27=13,76=14 дней - работал бы мастер в одиночку

3) 7,27*6=43,62% - выполнил бы мастер за 6 дней

4)100-43,62=56,38% - выполнил бы ученикr за 6 дней

5) 56,38/6=9,4 % выполнил ученик за 1 день

6)100/9,4=10,64=11 дней - работал бы ученик в одиночку

 

проверка:

(7,27+9,4)*6=100

 

:))

 

Answer 2

Task Analysis

- The master and his apprentice planned to complete a task together in 6 days. - The apprentice started the task but fell ill after completing 20% of it. - The remaining work was done by the master, and it took a total of 11 days to complete the task. - We need to determine how many days it would take for the master and the apprentice to complete the task individually.

Solution

Let's assume that the total amount of work in the task is represented by 100%.

1. The apprentice completed 20% of the task before falling ill. 2. The remaining work, which is 80%, was done by the master in 11 days.

To find out how many days it would take for the master to complete the entire task alone, we can set up a proportion:

**20% (apprentice's work) = 11 days 100% (master's work) = x days**

Using the concept of proportions, we can solve for x:

20/100 = 11/x

Cross-multiplying, we get:

20x = 11 * 100

Simplifying further:

20x = 1100

Dividing both sides by 20:

x = 55

Therefore, it would take the master 55 days to complete the entire task alone.

To find out how many days it would take for the apprentice to complete the entire task alone, we can set up another proportion:

**80% (master's work) = 11 days 100% (apprentice's work) = y days**

Using the concept of proportions, we can solve for y:

80/100 = 11/y

Cross-multiplying, we get:

80y = 11 * 100

Simplifying further:

80y = 1100

Dividing both sides by 80:

y = 13.75

Since the number of days is expressed as whole numbers, we can round up to the nearest whole number. Therefore, it would take the apprentice 14 days to complete the entire task alone.

In summary: - The master would take 55 days to complete the task alone. - The apprentice would take 14 days to complete the task alone.

Please note that the apprentice's work is expressed as a percentage, while the master's work is expressed as a whole number of days.