
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 painting job can be completed by Team A alone in 2.5 hours or by Team B alone in 75 minutes. On one occasion, after Team A had completed a fraction \(\frac{m}{n}\) of the job, Team B took over immediately. The whole painting job was completed in 1.5 hours. If \(m\) and \(n\) are positive integers with no common factors, find the value of \(m+n\).

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