
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
Trains  $A$  and  $B$  are on the same track a distance  $100$  miles apart heading towards one another, each at a speed of  $50$  miles per hour. A fly starting out at the front of train  $A$  flies towards train  $B$  at a speed of  $75$  miles per hour. Upon reaching train  $B$ , the fly turns around and flies towards train  $A$ , again at  $75$  miles per hour. The fly continues flying back and forth between the two trains at  $75$  miles per hour until the two trains hit each other. How many minutes does the fly spend closer to train  $A$  than to train  $B$  before getting squashed?

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