Question

задача по математике при совместной работе двух контролеров они могут за 8 ч работы проверить 48 изготовленных аппаратов.первый контролёр при той же производительности может один всё выполнить за 12ч .сколько времени потребуется второму контролёру на всюэту работу если он будет работать один с той же производительностью как раньше.

Answer 1

Problem Analysis

We are given that two controllers can check 48 devices in 8 hours when working together. The first controller can complete the same amount of work in 12 hours. We need to find out how long it will take the second controller to complete the entire task if they work alone at the same productivity level as before.

Solution

Let's assume that the second controller takes x hours to complete the entire task when working alone.

From the given information, we can set up the following equation based on the work rates of the two controllers:

1/8 + 1/x = 1/12

To solve this equation, we can multiply both sides by the least common multiple (LCM) of the denominators, which is 24x:

3x + 24 = 2x

Simplifying the equation, we get:

x = 24

Therefore, it will take the second controller 24 hours to complete the entire task if they work alone at the same productivity level as before.

Answer

The second controller will require 24 hours to complete the entire task if they work alone at the same productivity level as before.