Question

Первый рабочий делает 48 деталей, а второй рабочий за 3 часа делает столько деталей, сколько первый за 5 часов. За сколько часов они вместе сделают 256 деталей?

Answer 1

48×5=240 (дет.) - делает второй рабочий за три часа.
240÷3=80 (дет.) - делает второй рабочий за час.
256:(80+48)= 256:128=2 (часа).
Ответ: через 2 часа они вместе сделают 256 деталей

Answer 2

Problem Analysis

We are given that the first worker can make 48 parts, and the second worker can make the same number of parts in 3 hours. We also know that the first worker can make the same number of parts in 5 hours as the second worker can make in 3 hours. We need to determine how many hours it will take for both workers to make a total of 256 parts.

Solution

Let's first calculate the rate at which each worker produces parts.

The first worker can make 48 parts in 5 hours, so their rate is 48 parts / 5 hours = 9.6 parts per hour.

The second worker can make 48 parts in 3 hours, so their rate is 48 parts / 3 hours = 16 parts per hour.

To find out how many hours it will take for both workers to make a total of 256 parts, we can set up the following equation:

9.6 parts per hour * x hours + 16 parts per hour * x hours = 256 parts

Simplifying the equation:

25.6x = 256

Dividing both sides of the equation by 25.6:

x = 10

Therefore, it will take both workers 10 hours to make a total of 256 parts.

Answer

It will take both workers together 10 hours to make a total of 256 parts.