
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
Three different machines perform a certain computational task. If the entire task is assigned to the second machine or the first machine, the second machine will take 2 minutes longer than the first machine to complete the task. The third machine can complete the entire task in a time that is twice as long as the first machine. Since the parts of the task are uniform, the entire task can be divided among the three machines. Working together and finishing the task simultaneously, they complete it in 2 minutes and 40 seconds. How much time would each machine take to complete the task individually?

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