# Allison drove for 2 hours on the freeway, then decreased her speed by 20 miles per hour and drove 4 more hours on a country road. If her total trip was 268 miles, then what was her speed on the freeway?

Nov 9, 2016

Her speed on the freeway was $58$ miles per hour.

#### Explanation:

Let her initial speed on the freeway be $x$. Her total distance travelled is given by:

$2 x + 4 \left(x - 20\right) = 268$

$2 x + 4 x - 80 = 268$

$6 x = 348$

$x = 58$