document.write( "Question 1029726: Alejandra went on a 40 mile trip to a soccer game. On the way back, due to road construction she had to drive 20 miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game?
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Algebra.Com's Answer #644773 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"R%2At=D\"$
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\n" ); document.write( "Trip to game,
\n" ); document.write( "1. $\"R%2At=40\"$
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\n" ); document.write( "Trip back from game,
\n" ); document.write( "2. $\"%28R-20%29%2A%28t%2B1%29=40\"$
\n" ); document.write( "From 1,
\n" ); document.write( " $\"R=40%2Ft\"$
\n" ); document.write( "Substituting into 2,
\n" ); document.write( " $\"%2840%2Ft-20%29%28t%2B1%29=40\"$
\n" ); document.write( "Multiply both sides by t,
\n" ); document.write( " $\"%2840-20t%29%28t%2B1%29=40t\"$
\n" ); document.write( " $\"40t%2B40-20t%5E2-20t=40t\"$
\n" ); document.write( " $\"-20t%5E2-60t%2B40=0\"$
\n" ); document.write( " $\"t%5E2%2B3t%2B2=0\"$
\n" ); document.write( " $\"%28t%2B3%29%28t-1%29=0\"$
\n" ); document.write( "Only positive time solutions make sense,
\n" ); document.write( " $\"t-1=0\"$
\n" ); document.write( " $\"t=1\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"R=40%2F1\"$
\n" ); document.write( " $\"R=40\"$
\n" ); document.write( "She drove at 40 mph.\r
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