Question

Двое рабочих, работая вместе, могут сделать за один час 12 деталей. Первый рабочий, работая отдельно, сделает 28 деталей на один час быстрее, чем второй рабочий сделает 25 деталей. За сколько часов второй рабочий может сделать 50 деталей?

Answer 1

X-v1, y-v2
x+y=12
25/y-28/x=1
25/y-28/(12-y)=1
y=5
50:5=10часов

Answer 2

Problem Analysis

We are given that two workers can together produce 12 parts in one hour. The first worker can produce 28 parts in one hour, which is 25 parts more than the second worker. We need to determine how many hours it will take for the second worker to produce 50 parts.

Solution

Let's assume that the second worker can produce x parts in one hour.

From the given information, we know that: - The first worker can produce 28 parts in one hour. - The second worker can produce x parts in one hour. - Together, they can produce 12 parts in one hour.

Using this information, we can set up the following equation to represent the combined productivity of the two workers: 28 + x = 12

To solve for x, we can subtract 28 from both sides of the equation: x = 12 - 28 x = -16

Since the value of x is negative, it means that the second worker cannot produce any parts in one hour. This implies that the first worker is more productive than the second worker.

Therefore, it is not possible for the second worker to produce 50 parts in any number of hours.

Answer

The second worker cannot produce 50 parts in any number of hours, as the first worker is more productive than the second worker.