
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
Two trains depart simultaneously from two points that are 2400 km apart, traveling towards each other. Each train moves at a constant speed, and they meet after some time. If both trains traveled at the speed of the faster train, they would meet 3 hours earlier than they actually do. If both trains traveled at the speed of the slower train, they would meet 5 hours later than they actually do. Find the speeds of the trains.

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