Mike can run the mile in 6 minutes, and Dan Can run the mile in 9 minutes. If mike gives Dan a head start of 1 minute, how far from the start will mike pass Dan? How long does it take?

Answer 1

They run the same distance.

Mikedistance=1mile/6min * (time-1)
Dandistance=1mile/9min * time
set the two distance equal

1mile/6min (time-1)=1mile/9min (time
or
9(time-1)=6time
you do it from here.
time will be in minutes.
How far? use either distance equation.