
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A manufacturer built a machine which can address $1000$ envelopes in $12$ minutes. He wishes to build another machine so that when both are operating together they will address $1000$ envelopes in $3$ minutes. Find the equation used to determine how many minutes $x$ it would take for the second machine to address $1000$ envelopes alone.
**A)** $\frac{1}{12} + \frac{1}{x} = \frac{1}{2}$
**B)** $\frac{1}{12} + \frac{1}{x} = \frac{1}{4}$
**C)** $\frac{1}{12} + \frac{1}{x} = \frac{1}{3}$
**D)** $\frac{x}{3} + \frac{x}{12} = 1$

Present the answer in LaTex format: \boxed{Your answer}
user