Question

Два трактора различной мощности вспахали вместе 246 га.Первый трактор работал 15 дней,а другой 12 дней.При чем первый вспахивал в день в 1 1/4 раза больше,чем второй.Сколько гектар земли вспахивал каждый трактор за один день?Помогите!

Answer 1

X + Y = 246 
15X = (1 1/4) * 12Y 
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15X = 5/4 * 12Y 
15X = 15Y 
X = Y 
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X + X = 246 
2X = 246 
X = 123 ( га ) за 15 дней - 1-ый трактор
Y = 123 ( га ) за 12 дней - 2-ой трактор
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123 : 15 = 8,2 ( га ) в день 1-ый трактор
123 : 12 = 10,25 ( га ) в день 2-ой трактор

Answer 2

Calculation of Land Plowed by Each Tractor

To calculate the amount of land plowed by each tractor per day, we need to consider the following information:

- Two tractors of different power plowed a total of 246 hectares together. - The first tractor worked for 15 days, while the second tractor worked for 12 days. - The first tractor plowed 1 1/4 times more per day than the second tractor.

Let's break down the problem step by step:

1. Calculate the total land plowed by the first tractor: - Let's assume the land plowed by the second tractor per day is x hectares. - The first tractor plowed 1 1/4 times more per day than the second tractor, which means it plowed 1.25x hectares per day. - The first tractor worked for 15 days, so the total land plowed by the first tractor is 15 * 1.25x hectares.

2. Calculate the total land plowed by the second tractor: - The second tractor worked for 12 days, so the total land plowed by the second tractor is 12 * x hectares.

3. Set up an equation to represent the total land plowed by both tractors: - The sum of the land plowed by both tractors is equal to 246 hectares: 15 * 1.25x + 12 * x = 246.

Now, let's solve the equation to find the value of x and calculate the land plowed by each tractor per day.

Solution:

15 * 1.25x + 12 * x = 246

Simplifying the equation:

18.75x + 12x = 246

30.75x = 246

Dividing both sides by 30.75:

x = 246 / 30.75

x ≈ 8

The second tractor plowed approximately 8 hectares per day.

Now, let's calculate the land plowed by each tractor per day:

- The first tractor plowed 1.25 times more than the second tractor, which means it plowed 1.25 * 8 = 10 hectares per day. - The second tractor plowed 8 hectares per day.

Therefore, the first tractor plowed 10 hectares per day, and the second tractor plowed 8 hectares per day.

In summary: - The first tractor plowed 10 hectares per day. - The second tractor plowed 8 hectares per day.

Please note that the calculations provided are based on the information given in the question.