
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]


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When a certain object is cooled in the air, if the original temperature of the object is $\theta _{1}^{\circ}\mathrm{C}$ and the temperature of the air is $\theta _{0}^{\circ}\mathrm{C}$, the temperature $\theta ^{\circ}\mathrm{C}$ of the object after $t$ minutes can be obtained by the formula $θ={θ}_{0}+({θ}_{1}-{θ}_{0}){e}^{-\frac{t}{4}}$. Given two objects with temperatures of $100^{\circ}\mathrm{C}$ and $60^{\circ}\mathrm{C}$ are placed in air with a temperature of $20^{\circ}\mathrm{C}$ for cooling, determine the minimum value of $t$ in minutes, in terms of $\ln 2$, such that the temperature difference between these two objects does not exceed $10^{\circ}\mathrm{C}$.

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