
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 and B start climbing a mountain from the foot at the same time. After reaching the summit, they immediately start descending. The descending speed of both is 1.5 times their respective ascending speeds, and A is faster than B. 1 hour after starting, A meets B 600 meters away from the summit. When B reaches the summit, A is exactly halfway down the mountain. Calculate the total hours A needs to go from the start to the summit and back to the start.

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