You mean the Jumeirah Beach Hotel? Its not so far - at least compared to the drive from AUH! I don't remember it being that long.
If you mean Jumeirah Emirates Tower then its even nearer the airport.
You can get a pick-up at the airport for Dh 375 per car which you may want to think about. This is what Jumeirah charge Madinat Jumeirah guests so I assume JB is the same.
PS. Madinat Jumeirah is a substantially better property than JB which can be horrendously overrun by families and has a very modest pool area. Its like something in Spain. Madinat is next door (literally), has similar pricing (at least it did last time I priced it up, we're going in November again) and is in a different league in all respects - one of the worlds most amazing beach resorts.