SOLUTION: if tory averaged 52 mph on state highways and 62 mph on interstate highways on her 450 mile trip and her driving time was 7 hours and 45 minutes, how long did she travel on interst

Question 102408: if tory averaged 52 mph on state highways and 62 mph on interstate highways on her 450 mile trip and her driving time was 7 hours and 45 minutes, how long did she travel on interstate hightway and how many miles did she travel on state highways?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
This question is a variation of a mixture problem. Tory drove 450 miles in 7 hr and 45 min, which is 7.75 hr.
So we have her driving x hours at 52 mph and (7.75 - x) hrs at 62 mph.

That simplifies to 52x + 480.5 - 62x = 450.
Subtracting 480.5 from both sides and combining the x terms, we have
, so Tory drives 3.05 hr at 52 and (7.75 - 3.05) = 4.7 hr at 62.
ALWAYS check. . Check.
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