
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
During the unloading of a barge, first, four cranes with the same capacity operated for 2 hours. Then, an additional two cranes with lower but identical capacity were introduced. After this, it took another 3 hours to finish the unloading. If all these cranes had started working at the same time, the unloading would have been completed in 4.5 hours. How long would it take for one crane of greater capacity and one crane of lesser capacity to unload the barge together?

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