
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
When two ships, one 200 metres in length and the other 100 metres in length, travel in opposite directions, it takes 10 seconds to completely pass each other, and when they travel in the same direction, it takes 25 seconds to completely pass each other. Determine the speed of the faster ship in metres per second.

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