Предмет: Математика, автор: freethinker2504

Рішіть будь-ласка задачу: Човен йшов за течією річки 2,4 год, а поти течії - 3,2 год. Шлях, який човен пройшов за течією, виявився на 13,2 км довший, ніж шлях проти течії Знайдіть швидкість човна в стоячій воді, якщо швидкість течії річки дорівнює 3,5 км\год.

Ответы

Автор ответа: dauren190307

Ответ: 8 км/год - швидкість човна в стоячій воді

Пошаговое объяснение:

t1 = 2,4 год

t2 = 3,2 год

v течение = 3,5 км/год

Припустимо ікс це швидкість човна, тоді:

v1 = x + 3,5

v2 = x - 3,5

v1 * t2 = t2 * v2 + 13,2

2,4 * (x+3,5) = 3,2 * (x-3,5) + 13,2

2,4x + 8.4 = 3,2x - 11,2 + 13,2

2,4x +8.4 = 3,2x + 2

8.4 - 2 = 3,2x - 2,4x

6,4 = 0,8x

x = 6,4 / 0,8

x = 8 км/год - швидкість човна в стоячій воді(тому що швидкість човна і швидкість в стоячій воді це одне і теж тому немає течії)

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