Answer:
It will take them 5 hours to meet if they start moving towards eachother simultaneusly.
Step-by-step explanation:
Distance, s = 540 miles
Motocycle's speed, v = 48 mph
Time for motorcycle to cover 48 miles, t = [tex]\frac{Distance}{Speed}[/tex]
= [tex]\frac{540}{48}[/tex] = 11.25 h
For a car it takes 2.25 hours less than 11.25 for motorcycle:
Time for car than becomes: 11.25 - 2.25 = 9 h
Speed for car would be v(c) = [tex]\frac{Distance}{Time}[/tex]
= [tex]\frac{540}{9}[/tex] = 60 mph
For finding when they will meet, we will need relative speed:
Since they are moving towards each other the relative speed is the sum of speed of car and the speed of motorcycle
Relative Speed = 48 + 60 = 108 mph
Distance = 540 miles
Time = [tex]\frac{Distance}{Speed}[/tex]
= [tex]\frac{540}{108}[/tex]
= 5 hours
