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Пошаговое объяснение:
Пошаговое объяснение:
Расстояние между городами 584 км.
Направление движения: на встречу друг другу.
Выехали из двух городов одновременно.
Скорость грузового автомобиля на 16 км/ч больше автобуса.
Время движения 4 ч.
Определить скорость грузового автомобиля и автобуса.
Пусть скорость автобуса равна х км/ч, тогда скорость грузового автомобиля будет (х + 16) км/ч.
Расстояние, на которое сближаются грузовой автомобиль, и автобус за единицу времени, называют скоростью сближения vсб.
В случае движения грузового автомобиля и автобуса навстречу друг другу, скоростью сближения равно: vсб = v1 + v2
Если начальная расстояние S между грузовым автомобилем и автобусом равна 584 километров и они встретились через tвст = 4 ч, то S = vсб * tвст = (v1 + v2) * tвст
Составим уравнение:
(х + (х + 16)) * 4 = 584
(2х + 16) * 4 = 584
8х + 64 = 584
8х = 584 – 64
8х = 520
х = 520 : 8
х = 65
Скорость автобуса равно 65 км/ч.
Скорость грузового автомобиля равно 65 + 16 = 81 км/ч.
ответ: скорость автобуса — 65 км/ч; скорость грузовой машины — 81 км/ч.
-x = 37,48 - 60,3,
-x = -22,82,
x = 22,82.