As far as i understand we are going on a route shown in the picture.
When we can actually let Mars do the travelling for us and just take the short route and wait for Mars to arrive... Won't that be faster?
I have added a picture with some arrows to show what i mean.
The original picture can be found here -> http://www.extremetech.com/wp-content/uploads/2013/03/Inspiration_Mars_trajectory.svg_.png