document.write( "Question 335548: The Griswalds averaged 45 mph on their way to Las Vegas and 60 mph on the way back home using the same route. What is the distance from their home to Las Vegas if the total driving time was 70 hours. \n" ); document.write( "

Algebra.Com's Answer #240595 by Fombitz(32388) $\"\"$ $\"About$

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Rate*Time=Distance
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\n" ); document.write( "1. $\"45%2AT1=D\"$
\n" ); document.write( "2. $\"60%2AT2=D\"$
\n" ); document.write( "3. $\"T1%2BT2=70\"$
\n" ); document.write( "From eq.1,
\n" ); document.write( " $\"T1=D%2F45\"$
\n" ); document.write( "From eq. 2,
\n" ); document.write( " $\"T2=D%2F60\"$
\n" ); document.write( "Substitute into eq. 3,
\n" ); document.write( " $\"D%2F45%2BD%2F60=70\"$
\n" ); document.write( "Multiply both sides by $\"45%2A60\"$
\n" ); document.write( " $\"60D%2B45D=189000\"$
\n" ); document.write( " $\"105D=189000\"$
\n" ); document.write( " $\"highlight%28D=1800%29\"$ miles \n" ); document.write( "

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