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Консультация № 200067
09.01.2021, 16:49
0.00 руб.
1
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1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
"Поле было вспахано за 6 дней при совместной работе двух тракторов. За сколько дней вспашет все поле первый трактор, если он может вспахать все поле на 5 дней быстрее, чем второй?"
"Поле было вспахано за 6 дней при совместной работе двух тракторов. За сколько дней вспашет все поле первый трактор, если он может вспахать все поле на 5 дней быстрее, чем второй?"
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Обсуждение
09.01.2021, 18:03
общий
это ответ
Здравствуйте, Alex!
Пусть первый трактор вспашет поле за
дней, тогда второй трактор вспашет поле за 
дней
За один день первый трактор может вспахать
часть поля, а второй трактор может вспахать 
часть поля
Зная, что при совместной работе за 1 день тракторы вспахали
часть поля, то составим уравнение:
ОДЗ(уравнения):
по теореме Виета:
Корень
не удовлетворяет условию задачи, поэтому первый трактор вспашет поле за 
дней
Ответ:
Пусть первый трактор вспашет поле за
дней, тогда второй трактор вспашет поле за днейЗа один день первый трактор может вспахать
часть поля, а второй трактор может вспахать часть поляЗная, что при совместной работе за 1 день тракторы вспахали
часть поля, то составим уравнение:ОДЗ(уравнения):
по теореме Виета:
Корень
не удовлетворяет условию задачи, поэтому первый трактор вспашет поле за днейОтвет:
5
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