document.write( "Question 911407: It takes Ricky, traveling at 30 mph, 40 mins longer to go a certain distance than it takes Tyler traveling at 54 mph. Find the distance traveled. \n" ); document.write( "

Algebra.Com's Answer #553068 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+d+\"$ = the distance in miles traveled
\n" ); document.write( "Let $\"+t+\"$ = the time in hours for Tyler to travel $\"+d+\"$ miles
\n" ); document.write( " $\"+t+%2B+2%2F3+\"$ = time in hours for Ricky to travel $\"+d+\"$ miles
\n" ); document.write( "( Note that $\"+2%2F3+\"$ hrs = $\"+40+\"$ min )
\n" ); document.write( "---------------------
\n" ); document.write( "Tyler's equation:
\n" ); document.write( " $\"+d+=+54t+\"$
\n" ); document.write( "Ricky's equation:
\n" ); document.write( " $\"+d+=+30%2A%28+t+%2B+2%2F3+%29+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+54t+=+30%2A%28+t+%2B+2%2F3+%29+\"$
\n" ); document.write( " $\"+54t+=+30t+%2B+20+\"$
\n" ); document.write( " $\"+24t+=+20+\"$
\n" ); document.write( " $\"+t+=+5%2F6+\"$
\n" ); document.write( "---------------
\n" ); document.write( " $\"+d+=+54t+\"$
\n" ); document.write( " $\"+d+=+54%2A%285%2F6%29+\"$
\n" ); document.write( " $\"+d+=+45+\"$
\n" ); document.write( "The distance traveled is 45 mi
\n" ); document.write( "--------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+d+=+30%2A%28+t+%2B+2%2F3+%29+\"$
\n" ); document.write( " $\"+45+=+30%2A%28+5%2F6%2B+2%2F3+%29+\"$
\n" ); document.write( " $\"+45+=+30%2A%28+5%2F6+%2B+4%2F6+%29+\"$
\n" ); document.write( " $\"+45+=+30%2A%28+9%2F6+%29+\"$
\n" ); document.write( " $\"+45+=+45+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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