Question

4). Мастер делает всю работу за 2 часа, его помощник за 3 часа, а ученик – за 6 часов. За сколько времениони выполнят эту работу, если будут работатьсовместно.​

Answer 1

Ответ:

За 1 час они выполнят эту работу, если будут работать  совместно

Пошаговое объяснение:

Примем всю работу за 1 целую часть

Тогда:

1. 1 : 2 = 1/2 часть работы выполнит мастер за 1 час

2. 1 : 3 = 1/3 часть работы выполнит помощник за 1 час

3. 1 : 6 = 1/6 часть работы выполнит ученик за 1 час

4.  1/2 + 1/3 + 1/6 = (1*3+1*2+1)/6 = 6/6 = 1 целую часть работы выполнят все вместе за 1 час

Answer 2

Ответ:

а) Мастер сделает 1/3 часть работы, а ученик 1/6 часть работы за час

б) 1/3+1/6=2/6+1/6=3/6=1/2 часть работы сделают мастер и ученик вместе за час

в) Примем всю работу за единицу, тогда:

1:1/2=1*2/1=1*2=2 часа — за столько мастер и ученик сделают всю работу если будут работать вместе

Пошаговое объяснение

если не верно сорри

Answer 3

Problem Analysis

We are given the time it takes for a master, an assistant, and an apprentice to complete a task individually. We need to determine how long it will take for them to complete the task if they work together.

Solution

To find the time it takes for them to complete the task together, we can use the concept of work rates. The work rate is defined as the amount of work done per unit of time. If we assume that the amount of work to be done is the same, we can set up the following equation:

Work rate of the master + Work rate of the assistant + Work rate of the apprentice = Combined work rate

Let's denote the time it takes for the master to complete the task as t1, the time it takes for the assistant as t2, and the time it takes for the apprentice as t3. We can express the work rates as:

Work rate of the master = 1/t1

Work rate of the assistant = 1/t2

Work rate of the apprentice = 1/t3

The combined work rate is the sum of the individual work rates:

Combined work rate = 1/t1 + 1/t2 + 1/t3

To find the time it takes for them to complete the task together, we need to find the reciprocal of the combined work rate:

Time taken to complete the task together = 1 / (1/t1 + 1/t2 + 1/t3)

Let's substitute the given values into the equation and calculate the result.

Calculation

Given: - The master takes 2 hours to complete the task (t1 = 2) - The assistant takes 3 hours to complete the task (t2 = 3) - The apprentice takes 6 hours to complete the task (t3 = 6)

Substituting the values into the equation:

Time taken to complete the task together = 1 / (1/2 + 1/3 + 1/6)

Simplifying the equation:

Time taken to complete the task together = 1 / (3/6 + 2/6 + 1/6) = 1 / (6/6) = 1 hour

Therefore, it will take them 1 hour to complete the task if they work together.

Answer

If the master, assistant, and apprentice work together, they will be able to complete the task in 1 hour.