Question

Две бригады за 42 дней изготавливают 546 деталей. Первая бригада может выполнить эту работу за 91 дней. Вторая бригада может выполнить ту же работу за дней.

Answer 1

546/91=6 деталей 1 бригада изготавливает за 1 день
546/42=13 деталей 2 бригады изготавливают за 1 день
13-6=7 деталей 2 бригада изготавливает за 1 день
546/7=78 дней понадобится 2 бригаде чтобы выполнить эту работу

Answer 2

Problem Analysis

We are given that two brigades can manufacture 546 parts in 42 days. The first brigade can complete the work in 91 days. We need to determine how many days it would take for the second brigade to complete the same work.

Solution

Let's assume that the second brigade can complete the work in x days. We can set up the following equation based on the given information:

1/91 + 1/x = 1/42

To solve for x, we can multiply both sides of the equation by 91x42 to eliminate the denominators:

42x + 91(42) = 91x

Now, we can solve for x:

42x + 3822 = 91x

3822 = 91x - 42x

3822 = 49x

x = 3822/49

x ≈ 78.04

Therefore, the second brigade can complete the work in approximately 78.04 days.

Answer

The second brigade can complete the same work in approximately 78.04 days.