You and a friend are running on treadmills. You run 0.5 mile every 3 minutes, and your friend runs 2 miles every 14 minutes. You both start and stop running at the same time and run a whole number of miles. What is the least possible number of miles you and your friend can run?

You can run ______ miles and your friend can run ______ miles.

1 answer

you = y =(1/6) ( mile/min ) * t min
friend = f = (1/7) (mile/min) *t min
I think we need the least common multiple of 6 and 7, which I believe is 6*7, around t = 42 min
y runs 7 miles
f runs 6 miles