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According to available information, Lipitor (atorvastatin) is a medication used to lower cholesterol levels in the blood. While there is no specific information available on Lipitor's direct effect on the walking speed of the elderly, there are studies that suggest statins, the class of drugs to which Lipitor belongs, may have an impact on muscle function and mobility.

A study published in the Journal of the American Geriatrics Society found that long-term statin use was associated with a decline in physical performance in older adults, which could potentially impact walking speed. However, this study did not specifically examine Lipitor or its effects on walking speed ([1]).

Another study published in the Archives of Internal Medicine found that statin use was associated with a small increased risk of muscle weakness and mobility limitations in older adults. However, the study did not find a significant association between statin use and falls or fractures ([2]).

It is important to note that individual responses to medications can vary, and the effects of Lipitor on an elderly person's walking speed may depend on a variety of factors, including the person's overall health, other medications they are taking, and the dosage of Lipitor they are prescribed.

In conclusion, while there is some evidence to suggest that statins, including Lipitor, may have an impact on muscle function and mobility in older adults, there is no specific information available on Lipitor's direct effect on the walking speed of the elderly. As with any medication, it is important to discuss potential side effects and risks with a healthcare provider.

Sources:
[1] <https://www.ncbi.nlm.nih.gov/pubmed/25745193>
[2] <https://jamanetwork.com/journals/jamainternalmedicine/fullarticle/2109557>