
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
In response to the municipal government's call for "green commuting," Xiao Zhang changed his mode of transportation from driving to work to riding a public bicycle. It is known that Xiao Zhang's home is 10 kilometers away from his workplace. The average hourly distance he travels by riding a public bicycle is 45 kilometers less than the average hourly distance he travels by driving. When Xiao Zhang travels from home to his workplace, the time it takes to ride a public bicycle is 4 times the time it takes to drive. How many kilometers does Xiao Zhang travel on average per hour when riding a public bicycle to work?

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