
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
On a circular track, three marbles move counterclockwise at the same time. It is known that Marble A catches up with Marble B at the 10th second, catches up with Marble C at the 30th second, catches up with Marble B again at the 60th second, and catches up with Marble C again at the 70th second. How many seconds does it take for Marble B to catch up with Marble C?

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