You are an astronaut stranded on an alien planet with one vehicle and one solar-powered generator, which is the only energy source for the vehicle. The good news is that your command center back on earth is sending a rescue shuttle. The bad news: the nearest point they can land the shuttle is 8,000 miles away. Your vehicle has a range of 80 miles per charge, can travel 40 miles per hour, and needs to be stationary and connected to the generator for 30 minutes to recharge; the solar generator has a maximum capacity of 3 charges and takes 10 hours of clear daylight to recharge its full capacity. Assume that you begin the first day of your journey with a fully charged vehicle and generator and that there are 12 hours of daylight and 12 hours of darkness each day. How long will it take you to reach the spot you will meet your rescue shuttle?