Question

Хелп. Один рабочий выполнил задание за 3 часа, а другой рабочий за 5 часов, работая с такой же производитеностью, сколько деталей, изготовил каждый рабочий, если первый сделал на 120 деталей меньше, чем второй

Answer 1

1)120:3=40(д) за один час
2) 40*5=200(д) изготовил 2 рабочий
ответ: 200 деталей.

Answer 2

Calculating the Number of Parts Produced by Each Worker

To calculate the number of parts produced by each worker, we can use the concept of work done, which is directly proportional to the time taken. Let's denote the number of parts produced by the first worker as x and the number of parts produced by the second worker as y.

Given: - The first worker completed the task in 3 hours. - The second worker completed the task in 5 hours. - The first worker produced 120 fewer parts than the second worker.

We can set up the following equation based on the work done:

Work = Time × Rate

Calculating the Production Rate of Each Worker

Let's assume the production rate of the first worker is r parts per hour and the production rate of the second worker is also r parts per hour.

Using the work equation, we can express the work done by each worker in terms of the number of parts produced and the time taken:

For the first worker: 3r = x

For the second worker: 5r = y

Finding the Number of Parts Produced by Each Worker

Given that the first worker produced 120 fewer parts than the second worker, we can express this as an equation:

y - x = 120

Solving for the Number of Parts Produced

Substituting the expressions for x and y from the production rate equations into the equation y - x = 120, we get:

5r - 3r = 120

Solving for r: 2r = 120 r = 60

Now that we have the production rate r, we can find the number of parts produced by each worker:

For the first worker: 3r = 3 * 60 = 180 parts

For the second worker: 5r = 5 * 60 = 300 parts

Conclusion

Therefore, the first worker produced 180 parts and the second worker produced 300 parts.