Question

Мастер делает работу за 3 ч, что состовляет 1/2 от времени на эту роботу его ученика .Какую часть работы выполняет каждый из них за 1ч? Какую часть работы сделают они вместе за 1 ч? За сколько времени выполнят они всю работу, если будут трудиться вместе?

Answer 1

3:1/2=6часов за столько делает всю работу ученик

1:3=1/3 часть работы делает мастер за один час

1:6=1/6 часть работы делает ученик за один час

1/3+1/6 = 2/6+1/6=3/6=1/2часть всей работа сделают вместе за один час

1:1/2=2часа за столько сделают всю работу вместе

Answer 2

Problem Analysis

We are given that a master completes a job in 3 hours, which is half the time it takes his apprentice to complete the same job. We need to determine the fraction of the job each of them completes in 1 hour, the fraction of the job they complete together in 1 hour, and the time it takes for them to complete the entire job when working together.

Solution

Let's assume that the total job requires x hours for the apprentice to complete. According to the given information, the master completes the job in half the time, which is x/2 hours.

To find the fraction of the job each of them completes in 1 hour, we can divide the job by the time taken. Therefore, the fraction of the job completed by the master in 1 hour is 1/(x/2) = 2/x, and the fraction of the job completed by the apprentice in 1 hour is 1/x.

To find the fraction of the job they complete together in 1 hour, we can add their individual fractions. Therefore, the fraction of the job completed by both of them in 1 hour is 2/x + 1/x = 3/x.

To find the time it takes for them to complete the entire job when working together, we can divide the total job by the fraction of the job they complete together in 1 hour. Therefore, the time taken to complete the entire job when working together is x/(3/x) = x^2/3.

Answer

- The master completes 2/x of the job in 1 hour. - The apprentice completes 1/x of the job in 1 hour. - Together, they complete 3/x of the job in 1 hour. - They will complete the entire job in x^2/3 hours when working together.

Please let me know if anything is unclear or if you need further assistance!