Question

Mikayla and Courtney both leave the internet cafe at the same time, but in opposite directions. If Courtneytravels 7 mph faster than Mikayla and after 6 hours they are 162 miles apart, how fast is each traveling?

Answer 1

Courtney travels at 17mph and Mikayla at 10mph

1) In this question, we need to set equations for that.

Courtney Mikayla

v +7 v speed

2) Note that we have to use this relation:

`Speed\, {* time=distance}`

So, we can write out the following:

`\begin{gathered} v6+(v+7)6=162 \\ v6+6v+42=162 \\ 12v+42-42=162-42 \\ 12v=120 \\ v=10 \end{gathered}`

So we can now plug into Mikayla's speed and Courtney

Mikayla travels at 17mph and Courtney at 10mph