Question

Один рабочий перебирает контейнер овощей за 6 ч. а второй такой же контейнер - за 4. за какое время рабочие переберут контейнер овощей, если будут работать вместе?

Answer 1

Контейнер овощей-1
1:6=1\6 контейнеров в час 1ый рабочий
1:4=1\4 контейнеров в час 2ой рабочий
1\6+1\4=2\12+3\12=5\12 контейнеров в час произведённых обоими ракботниками
1:5\12=1*12\5=2ч24мин- время, за которое оба работника переберут обощей

Answer 2

Problem Analysis

We are given that one worker can sort a container of vegetables in 6 hours, while another worker can sort the same container in 4 hours. We need to determine how long it will take for the workers to sort the container if they work together.

Solution

To solve this problem, we can use the concept of work rates. The work rate of a worker is defined as the amount of work they can complete in a given unit of time. In this case, we can calculate the work rates of the two workers and then add them together to find the combined work rate when they work together.

Let's denote the work rate of the first worker as W1 and the work rate of the second worker as W2. The work rate is inversely proportional to the time taken to complete the work. Therefore, we can write the following equations:

W1 = 1/6 container per hour (since the first worker can sort the container in 6 hours)

W2 = 1/4 container per hour (since the second worker can sort the container in 4 hours)

To find the combined work rate when they work together, we can add the individual work rates:

Combined work rate = W1 + W2

Now, we can calculate the time it will take for the workers to sort the container by using the formula:

Time = 1 / Combined work rate

Let's calculate the time it will take for the workers to sort the container when they work together.

Calculation

First, let's calculate the individual work rates of the workers:

W1 = 1/6 container per hour

W2 = 1/4 container per hour

Next, let's calculate the combined work rate:

Combined work rate = W1 + W2 = (1/6) + (1/4) = 5/12 container per hour

Finally, let's calculate the time it will take for the workers to sort the container when they work together:

Time = 1 / Combined work rate = 1 / (5/12) = 12/5 = 2.4 hours

Therefore, it will take the workers approximately 2.4 hours to sort the container when they work together.

Answer

The workers will sort the container of vegetables in approximately 2.4 hours if they work together.