Question

What does the slower car travels at what mph What does the faster car travel at what mph

Answer 1

Given:

Time = 2 hr.

If distance traveld by first car = "x"

then distance by second car = 190-x.

Formula is:

`\text{speed}=\frac{\text{ Distance}}{\text{ Time}}`
`\begin{gathered} S_{}=(x)/(2) \\ x=2S \end{gathered}`

For second car is:

`\begin{gathered} \text{ spe}ed=\frac{\text{ Distance}}{\text{ Time}} \\ S_{}+7=(190-x)/(2) \\ 2S+14=190-x \\ x=190-14-2S \\ x=176-2S \end{gathered}`

Solve both equation is:

`\begin{gathered} x=2S \\ x=176-2S \\ 176-2S=2S \\ 4S=176 \\ S=(176)/(4) \\ S=44 \end{gathered}`

Slower car speed is 44 mph.

Faster car speed is:

`\begin{gathered} S_2=S+7 \\ S_2=44+7 \\ S_2=51 \end{gathered}`

Faster car speed is 51 mph.