Let's say that humans find a habitable planet 100 light years away and begin to build a ship that goes in the speed of light to get there. they fix hibernation pods in the ship so that humans could reach the planet without aging. while the ship is on the voyage two hibernation pods break and two people wake up(You know where I am getting right the movie PASSENGERS) and they still have 80 light years to go. but they find a medical robot to simulate the hibernation pod.Can you as the person in the situation find a mathematical way to reach the habitable planet alive and young as possible for both of you by sharing the medical robot.
person 1 age = 30
person 2 age = 30
life expectancy = 80
I assume it is possible if one person sleeps for $40$ years and then the other sleeps for the remaining $40$ years. That way both live till $70$ and enjoy $10$ years of roaming about the planet, assuming that no one dies in between.