My sister has starting talking slower in the past few weeks also she chokes easily on food ...she is in her 60s...should we be worried?

Dysphagia: Yes, there is cause for concern. She needs a good neurological evaluation and likely an mri.

It is concerning.: Few of the degenerative neurological conditions can cause similar problems.One of them with slow speech and difficulty in swallowing and choking with aspiration risk is parkinson's disease. Other problems like als( amyotropic lateral scelerosis) , multiple scelerosis also need to be ruled out. Tkae her to a neurologist htrough her pcp/directly

Neurological problem: Her symptoms sound concerning for a neurological problem such as a recent stroke or parkinson's disease. I would suggest you get her evaluated as soon as possible.