
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
During the "May Day" holiday, a younger brother and his mother set out from their home to visit their grandmother. After they had been gone for 1 hour, the older brother realized that he had forgotten the gift for their grandmother at home. He immediately took the gift and started chasing after them at a speed of 6 kilometers per hour. If the younger brother and his mother walk at a speed of 2 kilometers per hour and it takes them 1 hour and 45 minutes to get from their home to their grandmother's house, can the older brother catch up with them before they reach their grandmother's house?

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