
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
Tom’s kitchen clock, which is inaccurate, gains time at a constant rate but changes its rate of gain halfway through the day. In the morning, as he starts to read, both his kitchen clock and his accurate cellphone show 8:00 AM. By the time his cellphone says 10:00 AM, the kitchen clock reads 10:20 AM. At noon, the rate of gain of the kitchen clock doubles. Later in the day, Tom checks the clock which shows 6:00 PM. What is the actual time according to his cellphone?
A) 2:40 PM
B) 3:20 PM
C) 4:00 PM
D) 4:40 PM

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