Question

Как решить задачу требуется обработать 1200 одинаковых досок . Новый станок справится с этой работой за 3 ч , а старый за 6 ч ч. За сколько времени обрабатывают все доски оба станка, работатая одновременно

Answer 1

Ответ:

Пошаговое объяснение:

1) 1200 : 3 = 400 (досок) - обработает новый станок за 1 час

2) 1200 : 6 = 200 (досок) - обработает старый станок за 1 час

3) 400 + 200 = 600 (досок) - обработают за 1 час два станка, работая вместе

4) 1200 : 600 = 2 (часа) - обработают все доски два станка работая вместе

Ответ: за 2 часа

Answer 2

Пошаговое объяснение:

1) 1200:3 = 400 (д) - за 1 час обрабатывает 1 станок

2) 1200:6 = 200 (д) - за 1 час обрабатывает 2 станок

3) 400+200 = 600 (д) - за 1 час обрабатывают оба станка

4) 1200:600 = 2 (ч) - время за которое обработают все доски оба станка

Answer 3

Problem:

You need to process 1200 identical boards. A new machine can handle this task in 3 hours, while an old machine takes 6 hours. You want to know how long it will take to process all the boards if both machines are used simultaneously.

Solution:

To find out how long it will take to process all the boards using both machines simultaneously, we can calculate the combined efficiency of the two machines.

Let's assume that the new machine can process 1 board in 3 hours, which means its efficiency is 1/3 boards per hour. Similarly, the old machine can process 1 board in 6 hours, so its efficiency is 1/6 boards per hour.

When both machines are used simultaneously, their efficiencies add up. Therefore, the combined efficiency of the two machines is 1/3 + 1/6 = 1/2 boards per hour.

To calculate the total time required to process all 1200 boards, we can divide the total number of boards by the combined efficiency of the machines:

Total time = Total number of boards / Combined efficiency

Substituting the values, we get:

Total time = 1200 boards / (1/2 boards per hour)

Simplifying the expression, we find:

Total time = 1200 boards * (2 boards per hour)

Therefore, the total time required to process all 1200 boards using both machines simultaneously is 2400 hours.

Please note that this calculation assumes that the efficiency of the machines remains constant throughout the entire process and there are no other factors that may affect the processing time.