A new CPU in the market has the ability to run in two modes, P mode and E mode. The power consumed by the P and E modes are $120$ Watts and $80$ Watts, respectively. A program takes $10$ milliseconds to finish execution when run on the CPU in P mode, and $17\mathrm{.}5$ milliseconds in E mode. If saving battery life is the goal, then is it worth running the program in E mode?