The short of it is between $12,000 USD and $50,000 usd. It depends on many factors. You can go to the USA and do a 4 week intense program: "With this shorter training program, student pilots train up to eight hours a day, five days a week, learning everything they need to know to become a safe and competent pilot." Miami Flying Academy.
A normal student with a full time job, school and or a family will take around 8 months to a year if your flying around 2 hours a week.
The price will depend on which ground school you choose, what type of plane, where you do your hours and instructor rate.
The Cayman Flying Club plan is to offer an Online Ground School program with King Schools for $900 KYD that includes 1 intro class and 8 review classes over 8 months, with a lifetime membership to King Schools online program. Then our goal is to have 1 to 2 planes that members can rent with a private contract instructor for around $250 an hour. With the minimum being 40 hours to get your PPL the average of 60 hours it should cost around $16,000 KYD including ground school, if we get a Cessna 172 and the costs all add up to our budget. We do plan to buy a newer Aircraft such as a Cirrus or a Diamond where it will cost you around 400 an hour KYD but you will be learning in luxury and with the latest safety technology.