Предмет: Математика, автор: evelinarudenko033

5. Швидкість катера за течією річки 41,2 км/год, а проти течії 35,6 км/год. Знайти власну швидкість катера і швидкість течії річки
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Ответы

Автор ответа: daniilvlasenko45
3

Ответ: 2,8 км/год

Пошаговое объяснение:

Нехай швидкість катера відносно води становить V км/год, а швидкість течії - С км/год. Тоді можна записати дві рівності для швидкостей катера відносно берегів річки:

V + C = 41.2 (за течією)

V - C = 35.6 (проти течії)

Додавши ці дві рівності, отримаємо:

2V = 76.8

Звідки V = 38.4 км/год.

Підставляючи V у одну з початкових рівностей, знаходимо С:

38.4 + C = 41.2

C = 2.8 км/год.

Отже, власна швидкість катера становить 38.4 км/год, а швидкість течії - 2.8 км/год.


evelinarudenko033: Дякую
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