
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
Solve the equation in the application problem:<br/>Xiao Dong's family drove to a certain place for a trip. The mobile navigation system recommended two route options for them. Route one is $75$ km in total, and route two is $90$ km in total. The average speed of the car on route two is $1.8$ times the average speed of the car on route one. It is expected that the time taken to travel on route two is half an hour less than the time taken to travel on route one. Find the average speed of the car on route one.

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