A or B

There are two problems in a contest. - Problem `A` is worth $500$ points at the start of the contest. - Problem `B` is worth $1000$ points at the start of the contest. Once the contest starts, after each minute: - Maximum points of Problem `A` reduce by $2$ points . - Maximum points of Problem `B` reduce by $4$ points. It is known that Chef requires $X$ minutes to solve Problem `A` correctly and