Given
Noelle travels 5 mph faster
after 8h 136 miles apart
Explanation
Base equation is
[tex]x=vt[/tex]
where,
x = distance
v = speed
t = time
Therefore
[tex]\begin{gathered} Total\text{ distace=distance Vivian + distance Noelle} \\ x_v+x_n=136 \\ v_vt+(v_v+5)t=136 \\ 8v_v+(v_v+5)8=136 \\ 16v_v=136-5*8 \\ 16v_v=96 \\ v_v=\frac{69}{16} \\ v_v=\text{6 mph} \end{gathered}[/tex]
now,
Noelle speed
[tex]\begin{gathered} v_n=6\text{ mph + 5mph} \\ v_n=11mph \end{gathered}[/tex]
Vivian = 6mph and
Noelle = 11mph
