Question

Завод получил заказ на выполнение партии деталей. Первая, третья и четвертая бригады вместе могут выполнить заказ в три раза быстрее, чем вторая бригада, а вторая, третья и четвертая бригады - в четыре раза быстрее, чем первая бригада. За сколько дней смогут выполнить заказ третья и четвертая бригады, работая вместе, если первой и второй бригадам на это понадобится 11 дней?

Answer 1

3

 

по условию

3р2=р1+р3+р4

4р1=р2+р3+р4

р1+р2=1/11

р3+р4=-найти

 

от второго уравнения отнимаем первое

4р1-3р2=р2-р1

5р1=4р2

р1=0,8р2

р1+р2=0,8р2+р2=1,8р2

но р1+р2 известно по условию

1,8р2=1/11

р2=1/(1,8*11)=5/99

р1=0,8*5/99=4/99

р3+р4=3р2-р1=3*5/99-4/99=15/99-4/99=11/99=1/9

суммарная производительность 1/9 тогда времени - 9 дней

 

ответ: 9 дней

Answer 2

Calculating the Time to Complete the Order

To calculate the time it will take for the third and fourth brigades to complete the order, we can use the given information about the relative speeds of the brigades.

Given: - First and second brigades together take 11 days to complete the order. - The first, third, and fourth brigades together can complete the order three times faster than the second brigade. - The second, third, and fourth brigades together can complete the order four times faster than the first brigade.

Let's denote: - The time taken by the second brigade as x days. - The time taken by the third and fourth brigades together as y days.

We can set up the following equations based on the given information: 1. 11x = 1 (First and second brigades take 11 days to complete the order) 2. 3y = x (First, third, and fourth brigades together can complete the order three times faster than the second brigade) 3. 4y = 11 (The second, third, and fourth brigades together can complete the order four times faster than the first brigade)

Solving these equations will give us the value of y, which represents the time taken by the third and fourth brigades together to complete the order.

Let's calculate the value of y.