Answer :
[tex]d=v \cdot t[/tex]
d - distance
v - speed
t - time
Car A:
[tex]v_1 \\ t_1=2 \\ d_1=v \cdot 2=2 v[/tex]
Car B:
15 mph faster than car A
[tex]v_2=v_1+15 \\ t_2=1.5 \\ d_2= (v_1+15) \cdot 1.5=1.5v_1 + 22.5[/tex]
Both cars traveled equal distances:
[tex]d_1=d_2 \\ 2v_1 = 1.5v_1+22.5 \\ 2v_1-1.5v_1=22.5 \\ 0.5v_1=22.5 \\ v_1=45 \\ v_2=45 + 15 =60[/tex]
Car B traveled at the speed of 60 mph.
d - distance
v - speed
t - time
Car A:
[tex]v_1 \\ t_1=2 \\ d_1=v \cdot 2=2 v[/tex]
Car B:
15 mph faster than car A
[tex]v_2=v_1+15 \\ t_2=1.5 \\ d_2= (v_1+15) \cdot 1.5=1.5v_1 + 22.5[/tex]
Both cars traveled equal distances:
[tex]d_1=d_2 \\ 2v_1 = 1.5v_1+22.5 \\ 2v_1-1.5v_1=22.5 \\ 0.5v_1=22.5 \\ v_1=45 \\ v_2=45 + 15 =60[/tex]
Car B traveled at the speed of 60 mph.