Well I don't know if this will help or not. In my field we get questions like "how long will it take to..." with no to little information about the task. After failing enough deadlines you basically set for yourself trying to answer the question "it depends" becomes second nature. This would be my suggested response. "It depends." They are going to argue with you at first. Try to get you to stop what you are doing. Your boss gives in apparently. It doesn't mean you have to. It is ok to say you don't feel comfortable giving a quote without enough information. You just tell them you can't look at the problem right now can we set up a time or can you get some specs or whatever. Specs in writing would be ideal because you can now say "this is the information you gave me" and the work is on them. So is the responsibility. Eventually they'll respect your time and expertise more but it might come with some turmoil. You have to stand your ground. Recognize that they probably don't know everything that goes into a quote or they only have a vague idea. You are probably going to have to teach them.

PM roles are notorious for landing on people's feet with no training. It is a rock and a hard place kind of role. If you like that role and a lot of people do, ask for training. If they don't want to provide it I'm not sure what to suggest without knowing what your goals are for your career and with that company.

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