
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
Geraint always cycles to work, leaving at 8am every morning. When he averages \(15 \mathrm{~km/h}\), he arrives 10 minutes late. However, when he averages \(30 \mathrm{~km/h}\), he arrives 10 minutes early. What speed should he average to arrive on time?
A) \(20 \mathrm{~km/h}\)
B) \(21 \mathrm{~km/h}\)
C) \(22.5 \mathrm{~km/h}\)
D) \(24 \mathrm{~km/h}\)
E) \(25 \mathrm{~km/h}\)

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