Answer:
Giovanni was 0.5 miles from the finish line
Step-by-step explanation:
This is a problem of movement with constant velocity.
For this kind of problems, generally it is enough to remember the definition of average velocity v:
![v=\frac{x}{t}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bx%7D%7Bt%7D)
Where x is the change in position that took place in an interval t.
First, find the time that Jean, who cycled at 24 miles per hour, spent on the race:
Isolating t from the last equation,
, and replacing the data for Jean movement:
![t=\frac{120}{24}=5h](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B120%7D%7B24%7D%3D5h)
Second, find what was the distance that Giovanni had cycled when Jean crossed the line:
![x=v*t\\ x=23.9*5=119.5](https://tex.z-dn.net/?f=x%3Dv%2At%5C%5C%20x%3D23.9%2A5%3D119.5)
When Jean crossed the line he had cycled 120 miles, and Giovanni 119.5; so Giovanni was 0.5 miles from the finish line.