Final answer:
Inappropriate conduct from a coworker in front of customers should be handled by staying calm, choosing words carefully, and listening. Open-ended questions can help understand the coworker's position, and restating their points can help avoid misunderstandings. If the conflict cannot be resolved, report to a supervisor or HR.
Step-by-step explanation:
If a coworker, in this case Mrs. W, starts speaking inappropriately in front of customers when the supervisor is not around, it's important to manage the situation delicately. First, choose your words carefully to avoid exacerbating the situation. Stay composed, listen to what Mrs. W is saying, and aim not to suggest that one person is right or wrong, maintaining an open and respectful dialogue.
Attempt to ask open-ended questions to better understand her point of view, and restate what she says to ensure that there are no misunderstandings and to show that you are listening. The focus should be on solving the problem, not on casting blame. If the issue cannot be resolved between you and Mrs. W, consider speaking with your supervisor or the HR department after the incident.
Always remember the importance of providing excellent customer service and respecting everyone in your work environment. In any situation, it is crucial to adhere to professional standards and to work towards upholding the company's goals.