Question 102408
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.

{{{52*x + 62*(7.75-x) = 450}}}

That simplifies to 52x + 480.5 - 62x = 450.

Subtracting 480.5 from both sides and combining the x terms, we have

{{{-10x = -30.5}}}, so Tory drives 3.05 hr at 52 and (7.75 - 3.05) = 4.7 hr at 62.

ALWAYS check. {{{3.05*52+4.7*62=450}}}. Check.