Question

Фрезеровщик может обработать партию деталей за 3 ч, а его ученик- 6 ч. Успеют ли они обработать это количество деталей за 2 ч, если будут работать одновременно?

Answer 1

Question Analysis

The question asks whether a milling machine operator and their apprentice can process a certain number of parts in 2 hours if they work simultaneously. The milling machine operator can process a batch of parts in 3 hours, while the apprentice takes 6 hours to process the same batch. We need to determine if they can complete the task within 2 hours when working together.

Calculation

To calculate whether the milling machine operator and the apprentice can process the given number of parts in 2 hours, we need to find the combined efficiency of both workers.

Let's assume that the milling machine operator can process 1 batch of parts in 3 hours. This means their efficiency is 1/3 batches per hour.

Similarly, the apprentice can process 1 batch of parts in 6 hours, so their efficiency is 1/6 batches per hour.

To find the combined efficiency, we add their individual efficiencies:

1/3 + 1/6 = 1/2 batches per hour.

This means that when working together, the milling machine operator and the apprentice can process 1/2 batch of parts per hour.

Answer

Since the combined efficiency of the milling machine operator and the apprentice is 1/2 batch per hour, we can calculate the number of batches they can process in 2 hours:

1/2 batch per hour × 2 hours = 1 batch.

Therefore, when working simultaneously, the milling machine operator and the apprentice can process the given number of parts in 2 hours.

Please note that the above calculation assumes that the efficiency of the workers remains constant throughout the entire duration of their work.