Предмет: Алгебра, автор: Тусовщица

Мастер за 2 ч работы изготавливает столько же деталий, сколько его ученик за 6 ч работы. Найдите производительность труда мастера, если он в час изготавливает на 12 деталей больше, чем его ученик.

Ответы

Автор ответа: troleg

Производительность труда мастера в 3 раза больше производительности труда ученика, так как на выполнение работы ему нужно втрое меньше времени, поэтому получаем уравнение

3 * Х = Х + 12, откуда Х = 6

итак, ученик за час изготавливает 6 деталей, а мастер - 18

Автор ответа: vajny

Пусть х - производительность мастера, тогда (х-12) производительность ученика.

2х = 6(х-12)

4х = 72

х = 18

Ответ: 18 дет/ч.

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