
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
Mike is doing a one-hour cycling challenge. He has a computer which predicts how far he will cycle in the rest of the hour based on his average speed so far. After cycling 1 km in \( t \) minutes, he checks the distance the computer predicts he will cycle in the remaining time and it shows \( d \) km. In the next 36 minutes, he cycles 15 km. He checks the computer again and finds it still predicts he will cycle \( d \) km in the remaining time. Find the distance shown on the computer each time he looks.

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