Micah walks on a treadmill at 4 miles per hour. He has walked 2 miles when Luke starts running at 6 miles per hour on the treadmill next to him. If their rates continue, will Luke's distance ever equal Micah's distance? Explain.

*At 5 hours Luke will run 30 miles and at 8 hours Micah will run 30 miles.

Is this correct?

2 answers

After t more hours:

Micah has walked 2 + 4t miles
Luke ran 6t miles

6t = 4t + 2
2t=2
t = 1

So after one hour, they will have gone the same distance, each one has gone 6 miles.
oh my gosh my answer was so silly,
thanks.