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Based on the information provided, it is difficult to provide an exact time frame for when Advil (ibuprofen) will start working to alleviate a headache. Typically, ibuprofen is absorbed quickly by the body, with peak concentrations occurring within 1-2 hours after oral administration [1]. However, the onset of pain relief may occur before peak concentrations are reached.

Several factors can influence how quickly and effectively Advil works for an individual, including:

1. The cause and severity of the headache: Different types of headaches (e.g., tension, migraine, cluster) may respond differently to ibuprofen [2].
2. The dosage and formulation: Advil is available in various forms (tablets, capsules, gelcaps, and liquids) and dosages (200-800 mg). A higher dosage may provide faster and more effective relief, but it's essential to follow the recommended dosage guidelines [3].
3. Individual factors: Age, weight, liver and kidney function, and the presence of other medications or medical conditions can all affect how an individual responds to Advil [4].

It's also important to note that while Advil can be effective for treating headaches, it is not always the best option for every individual. Consult a healthcare professional for personalized advice on headache treatment.

Sources:

1. IBM Micromedex. (2021). Ibuprofen. In: Drug Information. [online] Available at: <https://www.micromedexsolutions.com>
2. National Headache Foundation. (n.d.). Types of Headaches. [online] Available at: <https://headaches.org/types-of-headaches/>
3. Advil. (2021). Uses and Dosage. [online] Available at: <https://www.advil.com/pain-reliever/uses-and-dosage>
4. Mayo Clinic. (2021). Ibuprofen (Oral Route). [online] Available at: <https://www.mayoclinic.org/drugs-supplements/ibuprofen-oral-route/description/drg-20061671>
5. DrugPatentWatch.com. (n.d.). Ibuprofen. [online] Available at: <https://www.drugpatentwatch.com/drugs/ibuprofen>