Same thing - Spells B-737 on your certificate...
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But the 737 and BBJ training is completely different. All depends where you do that training. For the 737 rating, you knock on the door of an airline training center, and for some US$ 6,000, you will spend up to 3 weeks in a classroom and simulator learning about the aircraft. You will probably stay at the nearest Motel 6...
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For the BBJ rating, you go to these upper class private jet training academies and pay some US$ 18,000 (triple price) to learn (in up to 4 weeks there) that you BBJ has options that FMS of regular 737 normally dont have, that you have an extra tank in the belly with 2 boost pumps (?) for extra range, and that the minimum number of bottles of champagne in the galley is listed in the MEL/DDPG. And yes, you will attend classroom and simulator training carrying a Gucci flight case. Your hotel will be a Sheraton, not a motel.
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You laugh...? - I understand that some of these BBJ operators reject any applicants who are product of regular airline training - Keep these low-life airline guys out of classy executive jets, please. You must be blue-blooded to have access to a Signature FBO to board Miss Paris Hilton and her party in your BBJ... Carrying her bags is more important than checking the ATIS.
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Happy contrails