
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
Yuan Da High School organized students to conduct a social survey in the suburbs $15km$ away from the school. Some students rode bicycles to go there, while another group of students took a car along the same route after the students riding bicycles had left for $40$ minutes. As a result, the students riding bicycles and those taking the car arrived at the destination at the same time. Given that the speed of the car is $3$ times the speed of the bicycle, find the speeds of the bicycle and the car.

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