SOLUTION: A woman drove part of a 185 mi trip at 50 mi/h and the rest at 55 mi/h. Find the distance she traveled at 50 mi/h if her total driving time was 3 h and 30 min.

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Question 95921This question is from textbook Algebra and Trigonometry Structure and Method book 2
: A woman drove part of a 185 mi trip at 50 mi/h and the rest at 55 mi/h. Find the distance she traveled at 50 mi/h if her total driving time was 3 h and 30 min. This question is from textbook Algebra and Trigonometry Structure and Method book 2

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
55X+50(3.5-X)=185
55X+175-50X=185
5X=185-175
5X=10
X=10/5
X=2 HOURS SHE DROVE @ 55 MPH.
3.5-2=1.5 HOURS SHE DROVE @ 50MPH.
PROOF
55*2+50*1.5=185
110+75=185
185=185