
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
Tom, Dick, and Harry started out on a 150-mile journey. Tom and Harry went by automobile at the rate of 30 mph, while Dick walked at the rate of 6 mph. After a certain distance, Harry got off and walked the remaining distance at 6 mph, while Tom went back to pick up Dick. After picking Dick up, Tom waited for 1 hour before continuing to the destination. The remaining journey was completed such that all three arrived at the destination simultaneously. Calculate the number of hours required for the trip.

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