Answer:
A motorcycle will complete the 540 mile trip in [tex]\frac{540}{48} = 11.25 hr[/tex]
And the car will complete it 2.25 hours less, i.e 11.25 -2,25 = 9 hours.
then,
Speed of the car is [tex]\frac{540}{9} = 60 km/hr[/tex]
60t + 48t = 540
108t = 540
Divide both sides by 108 we get
t = 5
So, they will meet in 5 hours,
After 5 hours, the motorcycle will have traveled [tex]48 \times 5 = 240 miles[/tex]
and the car will have traveled = [tex]60 \times 5 = 300 miles[/tex]
Given is :
The distance between the cities Chicago and Toronto is = 540 miles
Speed of motorcycle = 48 mph
So, time taken by motorcycle to cover 540 miles = [tex]\frac{540}{48}=11.25[/tex] hours
Hence, the motorcycle will complete the 540 miles trip in 11.25 hours.
As given, the car takes 2.25 hours less to cover the same distance, so car takes [tex]11.25-2.25=9[/tex] hours
So,the speed of the car therefore is [tex]\frac{540}{9}=60[/tex] mph.
Let both the car and motorcycle meets is 't' time.
So, [tex]60t+48t=540[/tex]
[tex]108t=540[/tex]
t = 5
So, they will meet in 5 hours.
After 5 hours, the motorcycle will have traveled 48x5 = 240 miles
And the car will have traveled 60x5 = 300 miles.
