Предмет: Математика, автор: Аноним

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Автор ответа: haievyiivan
1

Ответ:

Шпунтик сделает работу за 16ч

Гвинтик сделает работу за 8ч

Пошаговое объяснение:

Пускай х - скорость работы Шпунтика

тогда 2х - скорость работы Гвинтика

Вся работа = 100% = 1

(х + 2х) * 5 1/3 = 1

3х * 16/3 = 1

х * 16 = 1

х = 1/16

2х = 2/16

Шпунтик сделает работу за 1 / 1/16 = 16ч

Гвинтик сделает работу за 1 / 2/16 = 8ч

Автор ответа: iramazurk
1

Пошаговое объяснение:

Выполняет за 1 час Шпунтик = х работы

Выполняет за 1 час Гвинтик = 2х работы

Всю работу примем за единицу

5. 1/3 * (х + 2х) = 1

16/3 * 3х = 1

48/3х = 1

16х = 1

х = 1/16

Выполняет за 1 час Шпунтик = (х) = 1/16 часть всей работы

Значит всю работу он выполнит за :

1 : 1/16 = 1 * 16/1 = 16/1 = 16 часов

Выполняет 1 час Гвинтик = (2х) = 2 * 1/16 = 2/16 = 1/8 часть всей работы

Значит всю работу он выполнит за :

1 : 1/8 = 1 * 8/1 = 8/1 = 8 часов

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