
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 truck transports daily necessities from Town A to Village B, traveling uphill for 20 kilometers, downhill for 14 kilometers, and on flat terrain for 5 kilometers. It then transports grain from Village B to Town A. The round-trip time difference is 10 minutes. Given that the speed ratios of the truck going uphill, downhill, and on flat terrain are 3:6:5, find:

1. The average speeds of the truck when going uphill, downhill, and on flat terrain.
2. The time required for the truck to travel from Town A to Village B and the time required for the return trip from Village B to Town A.

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