
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 car travels 150 miles from $A$ to $B$ at 75 miles per hour, and then returns to $A$ on the same route. If the average rate of the round trip is 50 miles per hour, what is the rate, in miles per hour, of the car traveling back from $B$ to $A$?

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