Question

В жаркий день отец выпивает бочонок кваса за 6 часов .Вдвоём с сыном они выпивают такой же бочонок за 4 часа. За сколько времени сын один выпивает бочонок кваса? ( Решение с пояснением и без х ) спасибо!

Answer 1

1)6-4=2 ч быстрее выпивают отец с сыном.
2) 6+2=8 ч за это время выпьет сын

Answer 2

Solution:

To solve this problem, we can use the concept of work done. The work done is directly proportional to the time taken when the rate of work is constant. In this case, we can consider the work done as the amount of kvas consumed, and the time taken as the time to consume the kvas.

Let's denote the amount of kvas in the barrel as K and the time taken by the father alone to consume the kvas as T.

According to the given information: - Father alone consumes the barrel in 6 hours. - Father and son together consume the barrel in 4 hours.

Using the concept of work done, we can set up the following equation: 1. Father's rate of work + Son's rate of work = Combined rate of work

Calculations:

Let's calculate the rates of work for the father and the son.

- Father's rate of work = K/6 - Father and son's combined rate of work = K/4

Now, we can set up the equation using the rates of work: K/6 + Son's rate of work = K/4

Solving for Son's Rate of Work:

To find the son's rate of work, we can rearrange the equation: Son's rate of work = K/4 - K/6

Solving for the common denominator: Son's rate of work = (3K - 2K) / 12 = K/12

This means the son's rate of work is K/12.

Time Taken by Son Alone:

Now, we can find the time taken by the son alone to consume the kvas using his rate of work: Son's rate of work = K / Time taken by son alone

Rearranging the equation to solve for the time taken by the son alone: Time taken by son alone = K / (Son's rate of work)

Substituting the son's rate of work: Time taken by son alone = K / (K/12) = 12 hours

Conclusion:

Therefore, the son alone takes 12 hours to consume the barrel of kvas.

This solution demonstrates how the time taken by the father and son to consume the kvas individually can be calculated using the concept of work done.