Question

При совместной работе двух контролёров они могут за 8 ч работы проверить 48 изготовленных аппаратов. Первый контролёр при той же производительности может выполнить одни всю эту работу за 12 ч. Сколько времени потребуется второму контролёру на всю эту работу, если он будет работать одни и с той же производительностью, как раньше.

Answer 1

48- 32(это сколько-ко аппаратов проверяет первый контр) = 16
16/8 = 2 (это средняя скорость проверки)
48/2= 24 часа 
ответ : Второму контраолёру понадобиться 24 часа

Answer 2

Problem Setup

Let's solve the problem step by step. We are given that two inspectors working together can inspect 48 units in 8 hours. The first inspector alone can do the same work in 12 hours. We need to find out how long it will take for the second inspector to do the same work alone at the same rate as before.

Solution

To solve this problem, we can use the concept of "worker-months" or "man-hours." This concept allows us to compare the amount of work done by different workers in different time periods.

Let's denote the rate of work for the first inspector as R1 (in units per hour) and the rate of work for the second inspector as R2 (in units per hour).

From the given information, we know that: 1. R1 + R2 = 48 units / 8 hours (when working together) 2. R1 = 48 units / 12 hours (for the first inspector alone)

We can use these equations to find the value of R2 and then use it to calculate the time required for the second inspector to do the work alone.

Calculations

Let's start by finding the value of R1: - R1 = 48 units / 12 hours - R1 = 4 units/hour

Now, we can find the value of R2: - R1 + R2 = 48 units / 8 hours - 4 units/hour + R2 = 48 units / 8 hours - R2 = 48 units / 8 hours - 4 units/hour - R2 = 6 units/hour

Now that we have the value of R2, we can calculate the time required for the second inspector to do the work alone: - Time = 48 units / R2 - Time = 48 units / 6 units/hour - Time = 8 hours

Answer

Therefore, the second inspector, working alone at the same rate as before, will require 8 hours to complete the work.

I hope this helps! If you have any further questions, feel free to ask.