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?

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Answer 1 · 2016-11-09T22:53:15

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

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

#2x + 4(x- 20) = 268#

#2x+ 4x - 80 = 268#

#6x = 348#

#x = 58#