
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
The Junior Class 1 organized a mountain climbing activity at Penjia Mountain over the weekend. Considering the physical differences between male and female students, they were divided into two teams. Both teams started from the foot of the mountain at the same time and took the same path up and down the mountain. It is known that the time ratio used by the male and female teams is 2:3.  
(1) Directly write out the ratio of the speeds of the male and female teams;  
(2) When the male team reached the summit, the female team was at the mid-mountain point A, which is still 600 meters away from the summit. Calculate the distance from the foot of the mountain to the summit;  
(3) Based on the situation described in question (2) (except for the last question), assume that the female team continues to climb from point A, and the male team rests for a moment after reaching the summit and then descends the same path, meeting the female team at the mid-mountain point B. Please first propose a corresponding question based on the above scenario, and then provide an answer (requirements: ① The question must not add any other conditions; ② The solution must use all the known conditions provided in the scenario).

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