A runner has a track lap time of 1 minute while at a run, 4 minutes while at a jog, and 7 minutes while at a walk. If 2/5 of the lap is paced at a run, 1/3 at a jog, and 4/15 at a walk, what is the total track lap time of the runner? Write the solution as a mixed number or a fraction in lowest terms.
