I would allow 20 - 30 minutes. A lot will depend on which stop you are at the CBR. If you are the first stop then it can take 10-15 minutes just to hit all the other stops before heading to the MK. If you are the last stop then you will just have a 15-20 minute ride but the bus may be full, especially in the morning.
And by the way, there's no way to know or to make sure where the "first stop" and "last stop" within CBR will be. CBR has 7 bus stops, one for each village plus one at Old Port Royale. Where the first stop is depends on where that exact bus enters the resort. Sometimes the first stop is Jamaica, and sometimes the first stop is Martinique.
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