Question

Может​ бригада может выполнить работу за 6 дней,а другая-за 12 дней.За сколько дней две бригады выполнят ту же работу вместе?

Answer 1

1) 1/12 + 1/6 = 3/12
2) 12/3 = 4.

Answer 2

Calculation of the Time Required for Two Brigades to Complete the Same Task Together

To determine the number of days it would take for two brigades to complete the same task together, we can use the concept of work rates. Let's assume that one brigade can complete the task in 6 days, while the other brigade can complete it in 12 days.

The work rate of a brigade is inversely proportional to the number of days it takes to complete the task. In other words, the faster a brigade can complete the task, the higher its work rate.

Let's assign the work rate of the first brigade as x and the work rate of the second brigade as y. We can express their work rates as fractions of the task completed per day: x = 1/6 and y = 1/12.

When two brigades work together, their work rates are additive. Therefore, the combined work rate of the two brigades is x + y.

To find the number of days it would take for the two brigades to complete the task together, we can use the formula:

Number of days = 1 / (x + y)

Substituting the values of x and y into the formula, we get:

Number of days = 1 / (1/6 + 1/12)

Simplifying the expression:

Number of days = 1 / (2/12 + 1/12) = 1 / (3/12) = 12/3 = 4

Therefore, it would take the two brigades working together a total of 4 days to complete the same task.