Anton and his friend Jose are playing tag. Anton takes off running at a rate of 7.5 miles per hour. One minute later, Jose starts to chase Anton at a rate of 9 miles per hour. How many miles did it take for Jose to catch Anton?
Anton has a head start 7.5 m/hr * 1/60 hr
7.5 / 60 miles
Jose is running (9 - 7.5) = 1.5 m/hr faster
and will close the 7.5/60 miles in 7.5/60 miles / 1.5 m/hr hours
7.5/60 / 1.5 hours * 9 m/hr = .75 mile to catch Anton