
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
A group of tourists started their hike from a campsite. Fifteen minutes later, a tourist named Ivan remembered that he had forgotten a flashlight at the campsite and went back to get it, walking at a speed faster than that of the main group. After retrieving the flashlight, he started catching up with the group at the same increased speed and managed to reach them only 2.5 hours after he initially left to get the flashlight. Assuming the speeds of the group and Ivan (when not with the group) are constant, find how many times Ivan's speed is greater than the group's speed. Express the answer as a whole number or a decimal.

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