Question

Can I please get a detailed on how to solve this please

Answer 1

Given

Noelle travels 5 mph faster

after 8h 136 miles apart

Explanation

Base equation is

`x=vt`

where,

x = distance

v = speed

t = time

Therefore

`\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=(69)/(16) \\ v_v=\text{6 mph} \end{gathered}`

now,

Noelle speed

`\begin{gathered} v_n=6\text{ mph + 5mph} \\ v_n=11mph \end{gathered}`

Vivian = 6mph and

Noelle = 11mph