Question

Две бригады были заняты на уборке картофеля. Первая бригада за 8 ч работы убрала картофеля столько же, сколько вторая бригада за 10 ч. Сколько центнеров картофеля убрала первая бригада за 8 ч, если за один час она убирала на 20 ц больше, чем вторая бригада?

Answer 1

Хц в час 1 бригада,уц в час 2 бригада
{x-y=20
{8x=10y⇒y=0,8x
x-0,8x=20
0,2x=20
x=20:0,2
x=100ц в час 1 бригада
100*8=800ц убрала 1 бригада за 8 ч

Answer 2

Problem Analysis

We are given that two brigades were involved in harvesting potatoes. The first brigade harvested the same amount of potatoes in 8 hours as the second brigade did in 10 hours. We need to determine how many hundredweights of potatoes the first brigade harvested in 8 hours, given that it harvested 20 hundredweights more per hour than the second brigade.

Solution

Let's assume that the second brigade harvested x hundredweights of potatoes in 10 hours.

According to the given information, the first brigade harvested the same amount of potatoes in 8 hours as the second brigade did in 10 hours. This means that the first brigade harvested x hundredweights of potatoes in 8 hours.

We also know that the first brigade harvested 20 hundredweights more per hour than the second brigade. So, in 1 hour, the first brigade harvested x + 20 hundredweights, while the second brigade harvested x hundredweights.

To find the total amount of potatoes harvested by the first brigade in 8 hours, we can multiply the amount harvested in 1 hour by 8:

Total potatoes harvested by the first brigade in 8 hours = (x + 20) * 8 hundredweights

Now, we need to solve for x, which represents the amount of potatoes harvested by the second brigade in 10 hours.

To do this, we can set up an equation based on the given information:

x * 10 = (x + 20) * 8

Simplifying the equation:

10x = 8x + 160

2x = 160

x = 80

Therefore, the second brigade harvested 80 hundredweights of potatoes in 10 hours.

Now, we can substitute this value back into the equation to find the total amount of potatoes harvested by the first brigade in 8 hours:

Total potatoes harvested by the first brigade in 8 hours = (80 + 20) * 8 = 100 * 8 = 800 hundredweights

Answer

The first brigade harvested 800 hundredweights of potatoes in 8 hours.