Question

Токарь может обточить 1344 заготовки(-ок) за 8 дней, а его ученику на выполнение той же работы требуется в 3 раза больше времени. Токарь и ученик обточат 1344 такие(-х) заготовки(-ок) при совместной работе за ___ дней (дня).

Answer 1

Ответ:

1) 423,

2) 783

Пошаговое объяснение:

Answer 2

Calculation of Days Needed for Joint Work

To calculate the number of days needed for the lathe operator and the apprentice to process 1344 workpieces together, we can use the following approach:

1. Lathe Operator's Efficiency: The lathe operator can process 1344 workpieces in 8 days. 2. Apprentice's Efficiency: The apprentice takes 3 times longer to process the same amount of workpieces.

Let's calculate the joint work duration.

Solution

The lathe operator's efficiency is 1344 workpieces in 8 days, which means the operator processes 168 workpieces per day (1344 / 8 = 168).

The apprentice takes 3 times longer than the lathe operator, so the apprentice's efficiency is 168 / 3 = 56 workpieces per day.

To find the combined efficiency of the lathe operator and the apprentice, we add their individual efficiencies: 168 (lathe operator) + 56 (apprentice) = 224 workpieces per day.

Finally, to calculate the number of days needed for the joint work, we divide the total number of workpieces (1344) by the combined efficiency (224): 1344 / 224 = 6 days.

Therefore, the lathe operator and the apprentice will process 1344 workpieces together in 6 days.