Question

Рабочий может выполнить весь объём работы за x ч, а его ученик - за y ч. Записать выражение для нахождения времени, за которое весь объём работы выполнят рабочий и го ученик, если будут работать совместно

Answer 1

Весь объем -1.
уравнение:
1/(x+y)

Answer 2

Finding the Time Taken to Complete the Work Together

To find the time taken to complete the work when the worker and their apprentice work together, we can use the concept of work rates.

Let's assume that the worker can complete the entire job in x hours, and the apprentice can complete the entire job in y hours.

The work rate of the worker is 1/x (since they can complete the job in x hours), and the work rate of the apprentice is 1/y (since they can complete the job in y hours).

When they work together, their work rates are additive. Therefore, the combined work rate when they work together is 1/x + 1/y.

To find the time taken to complete the work when they work together, we can use the formula:

Time = 1 / (1/x + 1/y)

Simplifying this expression, we can use the formula:

Time = xy / (x + y)

So, the expression for finding the time taken to complete the work when the worker and their apprentice work together is xy / (x + y).

Please note that this formula assumes that the worker and the apprentice work at a constant rate throughout the entire job.