Question

Двое рабочих должны выточить одинаковое количество деталей. Один рабочий, выполняя заказ, вытачивает в час 4 детали. Через 2 ч после начала работы первого рабочегоначал выполнять заказ 2 рабочий. Второй рабочий вытачивает в час 6 деталей. Оба рабочих закончили выполнять заказ одновременно. Сколько деталей нужно было выточить каждому рабочему ?

Answer 1

Пусть 1-ый затратил " х" часов,а 2-ой "у" часов;
1-ый вытачил всего: 4х детали, 2-ой - 6у деталей.
                 Система:
           1)   х-у=2
            2) 4х=6у
х=6; у=4;
6*4-24-детали 2-ой
4*6-24 -детали 1-ый

Answer 2

Problem Analysis

We have two workers who need to machine an equal number of parts. The first worker machines 4 parts per hour, while the second worker machines 6 parts per hour. Both workers started working at the same time, and they finished the job simultaneously. We need to determine how many parts each worker needed to machine.

Solution

Let's assume that both workers needed to machine x parts each.

The first worker machines 4 parts per hour, so in 2 hours, the first worker would have machined 4 * 2 = 8 parts.

The second worker machines 6 parts per hour, so in 2 hours, the second worker would have machined 6 * 2 = 12 parts.

Since both workers finished the job simultaneously, the number of parts machined by the first worker (8 parts) must be equal to the number of parts machined by the second worker (12 parts).

Therefore, each worker needed to machine 8 parts.

Answer

Each worker needed to machine 8 parts.