Question

Первая бригада может выполнить некоторую работу за 36 дней,вторая бригада за 45 дней.За сколько дней обе бригады работая вместе,выполнят эту работу?

Answer 1

Пусть х- общее время, 1-вся работа 1/36 и 1/45- производительность бригад. То: (1/36+1/45)*х=1. (5/180+4/180)*х=1. 9/180 х=1 1/20х= 1 х=20 дней ответ: 20 дней

Answer 2

Calculation of Work Completion Time

To determine how many days it will take for both brigades to complete the work together, we can use the concept of work rates. The work rate is the amount of work done per unit of time.

Let's assume that the work to be done is represented by the variable W. The work rate of the first brigade is R1, and the work rate of the second brigade is R2.

According to the given information, the first brigade can complete the work in 36 days, which means its work rate is W/36. Similarly, the second brigade can complete the work in 45 days, so its work rate is W/45.

When both brigades work together, their work rates are additive. Therefore, the combined work rate of both brigades is (W/36) + (W/45).

To find the time it takes for both brigades to complete the work together, we can use the formula:

Time = Total Work / Combined Work Rate

Substituting the values, we have:

Time = W / ((W/36) + (W/45))

Simplifying the equation, we can find the value of W:

Time = W / ((5W + 4W) / (180))

Time = W / (9W / 180)

Time = 180 / 9

Time = 20 days

Therefore, both brigades working together will complete the work in 20 days.