document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #74400 by oberobic(2304) $\"\"$ $\"About$

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. \r
\n" ); document.write( "\n" ); document.write( "So we have her driving x hours at 52 mph and (7.75 - x) hrs at 62 mph.\r
\n" ); document.write( "\n" ); document.write( " $\"52%2Ax+%2B+62%2A%287.75-x%29+=+450\"$ \r
\n" ); document.write( "\n" ); document.write( "That simplifies to 52x + 480.5 - 62x = 450.\r
\n" ); document.write( "\n" ); document.write( "Subtracting 480.5 from both sides and combining the x terms, we have\r
\n" ); document.write( "\n" ); document.write( " $\"-10x+=+-30.5\"$ , so Tory drives 3.05 hr at 52 and (7.75 - 3.05) = 4.7 hr at 62.\r
\n" ); document.write( "\n" ); document.write( "ALWAYS check. $\"3.05%2A52%2B4.7%2A62=450\"$ . Check. \n" ); document.write( "

\n" );