Chase Distance Word Problem

Question

A doctor is already 213 miles on her way, traveling by train, to a region in South Africa when her nurse practitioner realizes she left a box of vaccines behind. The nurse practitioner jumps on a plane going 320 mph. How fast is the doctor going if the plane overtakes the train in three-quarters of an hour?

Answer 1

distance=rate*time

213+(r*0.75)=320*0.75

213+0.75r=240

0.75r=240-213

0.75r=27

r=27/0.75

r=2700/75

divide or simplify first

r=36 mph answer

if you simplified 2700/75=108/3 (divide both terms by 25), then 108/3=36