
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
An InterCity (IC) train overtakes a freight train on a parallel track and then they pass each other in the opposite direction. The ratio of the speed of the IC train to the speed of the freight train is the same as the ratio of the time taken to overtake to the time taken to pass each other in opposite directions. By how many times is the speed of the IC train greater than the speed of the freight train, assuming both trains maintain constant speeds?

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