Question 105765
Let x = the number of hours Carla traveled at 30mph
then 5 - x = number of hours she traveled at 20mph

The length of the roads will be either 30x or 20(5 - x) because d = rt.
We just equate the two expressions. We get:
{{{30x = 20(5-x)}}}
Then we solve for it.
{{{30x=100-20x}}}
{{{50x=100}}}
{{{x=2}}}
There, Carla traveled {{{30x = 30(2) = 60}}} miles one way.

Thank you.
~kmcruz09~