
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
Peter is chasing after Rob.  Rob is running on the line  $y=2x+5$  at a speed of  $2$  units a second, starting at the point  $(0,5)$ .  Peter starts running  $t$  seconds after Rob, running at  $3$  units a second.  Peter also starts at  $(0,5)$  and catches up to Rob at the point  $(17,39)$ .  What is the value of t?

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