
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 local office uses a machine capable of processing $1000$ envelopes in $10$ minutes. To enhance capacity, they introduced a second machine. Together, both machines are able to process $1000$ envelopes in $3$ minutes. What is the time $y$, in minutes, that the second machine would take by itself to complete $1000$ envelopes?
A) 4 minutes
B) $\frac{30}{7}$ minutes
C) $\frac{40}{7}$ minutes
D) 6 minutes

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