
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
Vitya and his mother left home at the same time and walked in opposite directions at the same speed: Vitya to school and his mother to work. After 10 minutes, Vitya realized he didn't have the house keys and that he would return home earlier than his mother, so he started to catch up with her by increasing his speed five times. How many minutes will it take from the moment he realized he needed to fetch the keys for Vitya to catch up with his mother?

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