definite articles - "do you have time" or "do you have the time"?

I'm a bit confused about the use of the determinative article before "time". I know the rule is to not use the article when you talk about thinks in general. So if I say:

do you have time to do it?

since this is a specific time, that is the time to do something, it should be more correct to say:

do you have the time do to it?

Yet, the former version is used too. Why? Just an exception to the general rule? And what about:

have you got time to do it?
have you got the time to do it?

Answer

This is a case where either way works, and they are both commonly used. In this kind of sentence, "time" can be used in the uncountable sense and you can also add clarification of an amount to the sentence. Or, you can refer directly to the specific time being discussed.

Another example would be, "Do you have water to give me a drink?" vs. "Do you have the water to give me a drink?" The first case refers to water in general and adds clarification of an amount. The second case refers to the specific water being requested. Again, both versions are fine.