Answer:
40 mph, 60 mph, 24 miles
Step-by-step explanation:
Let x mph be the speed of the slower motorcyclist, then 1.5x mph is the speed of the faster motorcyclist.
Both motorcyclists were travelling 2 hours 24 minutes = 2.4 hour. The slower motorcyclist drove [tex]2.4x[/tex] miles and the faster motorcyclist drove [tex]2.4\cdot 1.5 x=3.6x[/tex] miles. In total, they both drove two distances from the point A to the point B, so
[tex]2.4x+3.6x=2\cdot 120,\\ \\6x=240,\\ \\x=40\ mph,\\ \\1.5x=60\ mph.[/tex]
The slower motorcyclist drove
[tex]2.4\cdot 40=96[/tex]
miles, so the distance from the point they met and point B is
[tex]120-96=24[/tex]
miles.
