Question

#3 Два тракториста вместе вспахали поле плоадью58га. Первый тракторист работал 6дней, а второй 8дней. сколько гектаров земли вспахал каждый тракторист в день если первый за 4дня вспахал столько же сколько второй тракторист за 5дней?

Answer 1

Пусть первый вспахал за день х га, а второй - у. За 6 дней первый вспашет 6х, а второй - 8у. 

Вместе они вспахали 58 га, то есть, 6x + 8y = 58

Первый за 4 дня вспахал столько же сколько и второй за 5 дней, то есть, 4x = 5y отсюда x=1.25y

Подставим в уравнение, получаем

6*1.25y +8y = 58

7.5y + 8y = 58

15.5y = 58

y = 116/31 га

x = 145/31 га

Возможно у вас ошибка в условии, по сути, если мыслить логически, вспахал второй за 8 дней 116/31 га это слишком мало

Answer 2

Calculation of Land Plowed by Each Tractorist

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

- The first tractorist worked for 6 days. - The second tractorist worked for 8 days. - The first tractorist plowed the same amount of land in 4 days as the second tractorist did in 5 days.

Let's calculate the amount of land plowed by each tractorist per day.

1. Calculate the land plowed by the first tractorist per day: - Let's assume the land plowed by the first tractorist in 4 days is x hectares. - Therefore, the land plowed by the first tractorist in 1 day is x/4 hectares.

2. Calculate the land plowed by the second tractorist per day: - Let's assume the land plowed by the second tractorist in 5 days is y hectares. - Therefore, the land plowed by the second tractorist in 1 day is y/5 hectares.

Now, let's calculate the values of x and y.

According to the given information, the first tractorist plowed the same amount of land in 4 days as the second tractorist did in 5 days. This can be expressed as:

x = y

We also know that the first tractorist worked for 6 days and the second tractorist worked for 8 days. Therefore, we can write the following equations:

6 * (x/4) = 58 (equation 1) 8 * (y/5) = 58 (equation 2)

Let's solve these equations to find the values of x and y.

From equation 1, we can solve for x: 6 * (x/4) = 58 6x = 232 x = 232/6 x = 38.67 hectares

From equation 2, we can solve for y: 8 * (y/5) = 58 8y = 290 y = 290/8 y = 36.25 hectares

Therefore, the first tractorist plowed approximately 38.67 hectares of land per day, while the second tractorist plowed approximately 36.25 hectares of land per day.

Please note that these values are approximate due to rounding.