
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
Marc gets utility from his daily activities according to the formula $$\text{Utility} = \text{hours of reading} \times \text{hours of jogging}.$$ On Wednesday, he jogs for $t+1$ hours and reads for $7 - t$ hours. On Thursday, he has the same utility, jogging for $3-t$ hours and reading for $t+4$ hours. Find $t$. Answer as a fraction.

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