Question

1 рабочий делал в день на 50 деталей меньше, чеи 2. Когда производительность 1 рабочего возросла на 1%, а 2 - на 2%, они в месте за день стали делать 254 детали. Сколько деталей в день делал каждый из них первоначально

Answer 1

Обозначим д етали  первого тогда х+50 детали  второго Далее умножим х на  101  %)   х+50 на 102разделим  на  100=254х=67  -это производительность  первого  а  второгона 50 больше=117 деталей

Answer 2

Problem Analysis

We are given that one worker produces 50 fewer parts per day than the other worker. When the productivity of the first worker increases by 1% and the productivity of the second worker increases by 2%, they together produce 254 parts per day. We need to determine how many parts each worker initially produced per day.

Solution

Let's assume that the first worker initially produced x parts per day. Since the second worker produces 50 more parts per day, the second worker initially produced x + 50 parts per day.

When the productivity of the first worker increases by 1%, their new productivity becomes 1.01x parts per day. Similarly, when the productivity of the second worker increases by 2%, their new productivity becomes 1.02(x + 50) parts per day.

Together, they produce 254 parts per day, so we can set up the following equation:

1.01x + 1.02(x + 50) = 254

Simplifying the equation:

1.01x + 1.02x + 51 = 254

2.03x = 203

x = 100

Therefore, the first worker initially produced 100 parts per day, and the second worker initially produced 100 + 50 = 150 parts per day.

Answer

The first worker initially produced 100 parts per day, and the second worker initially produced 150 parts per day.