
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
If Tom and Harry traveled at 20 mph and Dick cycled at 10 mph, but then Tom and Harry walked at 5 mph and Dick continued to cycle at 10 mph until they met up, and they all reached the destination together, determine the total time it took for the entire 120-mile journey.

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