
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
In Chongqing, a freshman named Xiao Wang from a key high school lives in county A and now goes to school in the main city B. On Saturday, Xiao Wang's parents leave home at 8 am, drive for 3 hours to reach the main city B. Due to traffic and other reasons, the relationship between the distance s (in km) traveled by Xiao Wang's parents' car and the time t (in hours) since leaving home is given by the function $s(t) = -5t(t-13)$. After reaching the main city B, Xiao Wang's parents park the car in B, spend time with Xiao Wang at school until 4 pm, and then drive back to A along the same route at a speed of 60km/h.  
(1) Find the analytical expression of the function relating the distance s (in km) traveled by Xiao Wang's parents' car to the time t (in hours) since leaving home for this day;  
(2) There is a gas station 60km away from Xiao Wang's home. Find the times when Xiao Wang's parents' car passes by the gas station on this day.

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