That is natural and clear, but I wonder whether you take out both the drive there and the drive home, in which case you should change the wording to "the drive to and from the place". You're missing a comma, and you should not mix numerals and words for numbers unless there is a good reason to: "You have booked me for two hours. I have to let you know that the drive to the place, however long it takes, is taken out of the two hours.
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