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Good luck if you want to take a bus in Marrakech ...
According to the Moroccan Airports Authority there is a shuttle between the airport and the city center. This shuttle is running at an hourly frequency, between 6.25 am and 12.25 am on the following route:
Departure Airport - Hivernage - Jemaa El Fna - Bab Doukkala- Gueliz - ONCF Station - Arrival Airport
The one-way ticket costs 30 MAD and the round trip 50 MAD.
There is a place not far from the Jemaa El Fna square where you can catch the main city buses.
On the other hand, note that the main sights can and must be visited on foot. For instance, there is no bus crossing the Medina. If you want to go to a place a bit outside, such as the Majorelle Gardens, you can take a so-called small taxi. These taxis have meters, and the drivers are supposed to use them (you have to insist). Note that 25 MAD will take you rather far already.