Plunk and Ms. Q run a $100$-meter race. Plunk runs at $8$ meters per second, and Ms. Q runs at $5$ meters per second. Because Ms. Q runs slo

Plunk and Ms. Q run a -meter race. Plunk runs at  meters per second, and Ms. Q runs at  meters per second. Because Ms. Q runs slower, she is given a -second head start.

Plunk wins the race.

How much time, in seconds, is it between the time Plunk passes Ms. Q and the time that Plunk finishes the race?