
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 fractional equation application problem. A maglev train is a train that is propelled by magnetic levitation force. The construction of maglev trains is a brilliant leap in the history of China's transportation development. The distance between station $A$ and station $B$ is $30$ km. The average speed of the maglev train running between them is $6.25$ times the average speed of the subway. Moreover, the time taken to ride the maglev train is $\frac{7}{10}$ hours less than the time taken to ride the subway. Find the average speed of the maglev train.

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