Question

Двое ра­бо­чих, ра­бо­тая вме­сте, могут вы­пол­нить ра­бо­ту за 4 дня. За сколь­ко дней, ра­бо­тая от­дель­но, вы­пол­нит эту ра­бо­ту пер­вый ра­бо­чий, если он за 3 дня вы­пол­ня­ет такую же часть ра­бо­ты, какую вто­рой — за 4 дня?

Answer 1

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Answer 2

Problem Analysis

We are given that two workers can complete a job together in 4 days. We need to determine how many days it would take for the first worker to complete the job alone if the second worker can complete the same portion of the job in 4 days.

Solution

Let's assume that the total work required to complete the job is represented by the variable "W".

We are given that two workers can complete the job together in 4 days, so their combined work rate is 1/4 of the job per day. This can be represented as:

Worker 1 + Worker 2 = 1/4 of the job per day We are also given that the second worker can complete the same portion of the job in 4 days. This means that the second worker's work rate is 1/4 of the job per day. This can be represented as:

Worker 2 = 1/4 of the job per day To find the work rate of the first worker, we subtract the second worker's work rate from the combined work rate:

Worker 1 = Worker 1 + Worker 2 - Worker 2

Simplifying this equation, we get:

Worker 1 = 1/4 of the job per day - 1/4 of the job per day

The terms "1/4 of the job per day" cancel out, leaving us with:

Worker 1 = 0

This means that the first worker's work rate is 0, indicating that the first worker cannot complete any portion of the job alone. Therefore, it is not possible to determine how many days it would take for the first worker to complete the job alone.

Answer

It is not possible to determine how many days it would take for the first worker to complete the job alone, as the first worker's work rate is 0.