Question

A. 12. Два робітники, працюючи разом, можуть виконати певну роботу за 16 годин. Один з них, працюючи са- мостійно, може виконати цю роботу за 24 години. За скільки годин її може виконати другий робітник, пра- цюючи самостійно? А. 38 год Б. 40 год В. 45 год Г. 48 год 110

Answer 1

Ответ и пошаговое объяснение :

24

⇩

2,4 × 10¹

Answer 2

I can answer your question in detail.

The question is in Ukrainian, and it asks how long it would take for the second worker to complete a certain job alone, if two workers together can do it in 16 hours, and one of them alone can do it in 24 hours. The answer choices are A. 38 hours, B. 40 hours, C. 45 hours, and D. 48 hours.

To solve this problem, we can use the formula:

$$\frac{1}{t_1} + \frac{1}{t_2} = \frac{1}{t}$$

where $t_1$ and $t_2$ are the time it takes for each worker to do the job alone, and $t$ is the time it takes for them to do it together.

We are given that $t_1 = 24$ and $t = 16$. We need to find $t_2$.

Substituting the given values into the formula, we get:

$$\frac{1}{24} + \frac{1}{t_2} = \frac{1}{16}$$

Solving for $t_2$, we get:

$$t_2 = \frac{24 \times 16}{16 - 24} = 48$$

Therefore, the correct answer is D. 48 hours.

I hope this explanation was helpful. If you have any other questions, feel free to ask me.