Respuesta :
Answer:
Step-by-step explanation:
let they travel the distance between them alone
d = common distance traveled by both motorcycle and car = 540 miles
[tex]t_{m}[/tex]= time taken by motorcycle to travel distance between them
[tex]v_{m}[/tex] = speed of the motorcycle = 48 mph
time taken by motorcycle to travel distance between them is given as
[tex]t_{m}[/tex]= d/[tex]v_{m}[/tex]
[tex]t_{m}[/tex]=540/48
[tex]t_{m}[/tex]= 11.25 h
[tex]t_{c}[/tex]= time taken by car to travel distance "d" =11.25 - 2.25 = 9 h
[tex]v_{m}[/tex] = speed of the motorcycle
speed of motorcycle is given as
[tex]v_{m}[/tex] = d/[tex]t_{m}[/tex]
[tex]v_{m}[/tex] = 540/9
[tex]v_{m}[/tex] = 60 mph
when the car and motorcycle move towards each other, the relative speed is given as
v = [tex]v_{m}[/tex] + [tex]v_{c}[/tex]
v = 60 + 48
v = 108 mph
t = time taken to meet
Time taken to meet is given as
t = d/v
t = 540/108
t = 5 h
