Answer:
A = 70
B = 90
Step-by-step explanation:
We know that Car A travels 20 mph faster than Car B.
Assuming the speed of Car B to be x and the speed of Car A to be x+20, we can write:
[tex]\frac{196}{x} =\frac{252}{x+20}[/tex]
Taking the reciprocal of both sides to make x the subject:
[tex]196(x+20)=252x[/tex]
[tex]196x+3920=252x[/tex]
[tex]252x-196x=3920[/tex]
[tex]56x=3920[/tex]
[tex]x=70[/tex] ---> speed of Car A
Finding the speed of Car B: [tex]x+20 = 70+20=90[/tex]
Therefore, the speed of Car A = 70 and the speed of Car B = 90.
