Вопрос школьника по предмету Алгебра
Теплоход прошёл по течению реки 48 км и столько же против течения, затратив на весь путь 5 ч. Найдите скорость течения реки, если скорость теплохода по течению 24 км/ч
Ответ учителя по предмету Алгебра
х км/ч — скорость течения
24-х км/ч — скорость теплохода
24-х-х=24-2х км/ч — скорость против течения
48/24+48/(24-2х)=5*24(24-2х)
48(24-2х+24)=2880-240х
2304 — 96х=2880-240х
240х-96х=2880-2304
144х=576
х=576:144
х=4(км/ч) — скорость течения
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