Question

Данный пахотный участок земли один трактор может вспахать за 8 дней,а другой за 6 дней.Какую часть поля вспашут два трактора за два дня при совместной работе?

Answer 1

1 - весь участок
1/8 часть вспашет первый за 1 день
1/6 часть вспашет второй за день
1/8+1/6=3/24+4/24=7/24 вспашут оба за 1 день
7/24*2=14/24=7/12
Ответ: за два дня при совместной работе трактора вспашут 7/12 участка

Answer 2

Calculating the Portion of the Field Plowed by Two Tractors

To calculate the portion of the field that two tractors can plow in two days when working together, we can use the concept of "work done" by each tractor in a day.

Given: - Tractor A can plow the entire field in 8 days. - Tractor B can plow the entire field in 6 days.

Let's calculate the portion of the field that two tractors can plow in two days when working together.

Solution:

We can calculate the portion of the field plowed by each tractor in one day using the formula: \[ \text{Work done by one tractor in one day} = \frac{1}{\text{Number of days taken by the tractor to plow the entire field}} \]

So, - Work done by Tractor A in one day = \( \frac{1}{8} \) - Work done by Tractor B in one day = \( \frac{1}{6} \)

When both tractors work together, their combined work done in one day is the sum of their individual work done: \[ \text{Combined work done by both tractors in one day} = \frac{1}{8} + \frac{1}{6} \]

Now, we can calculate the portion of the field plowed by both tractors in two days: \[ \text{Portion of the field plowed by both tractors in two days} = 2 \times \left( \frac{1}{8} + \frac{1}{6} \right) \]

Let's calculate the combined work done by both tractors in one day and then the portion of the field plowed by both tractors in two days.

Result:

The portion of the field that two tractors can plow in two days when working together is \(\frac{11}{24}\).

Note:

The calculation is based on the assumption that the tractors work at a constant rate and that the field is plowed uniformly.