
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
Given that Route X is 8 miles long with an average speed of 40 miles per hour, and Route Y is 7 miles long with 6.5 miles traveled at 50 miles per hour and a 0.5-mile stretch traveled at 10 miles per hour, determine the difference in time taken between the two routes.

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