
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
A car departs from location $A$, and a cyclist departs from location $B$, which is $80 \mathrm{~km}$ away from $A$, at the same time, heading towards each other. After one hour of driving, they are still $24 \mathrm{~km}$ apart. The cyclist then takes a 1-hour rest, and they meet 90 minutes after their departure.

1. What are their speeds? Where do they meet?

2. Represent the solution on a graph.

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