document.write( "Question 934248: luis can drive 3 times as fast as carlos can ride his bicycle. if it takes carlos 2 hours longer than luis to travel 51 miles, how fast can carlos ride his bicycle. \n" ); document.write( "
Algebra.Com's Answer #567439 by ptfile(81)\"\" \"About 
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Let 3r= Luis's rate
\n" ); document.write( " r= Carlos's rate
\n" ); document.write( " t+2= Duration of Carlos traveled
\n" ); document.write( " t= Duration of Luis traveled
\n" ); document.write( " 51mi= Total distance\r
\n" ); document.write( "\n" ); document.write( "Luis can drive 3 times as fast as Carlos can ride his bicycle. if it takes Carlos 2 hours longer than Luis to travel 51 miles
\n" ); document.write( "Distance = (rate)(time)
\n" ); document.write( "51=(3r)(t)
\n" ); document.write( "51=3rt
\n" ); document.write( "17=rt
\n" ); document.write( "17/r=t\r
\n" ); document.write( "\n" ); document.write( "51=(r)(t+2)
\n" ); document.write( "51=rt+2r
\n" ); document.write( "51-2r=rt
\n" ); document.write( "51-2r/r=t\r
\n" ); document.write( "\n" ); document.write( "17/r=51-2r/r
\n" ); document.write( "17=51-2r
\n" ); document.write( "2r=34
\n" ); document.write( " r=17\r
\n" ); document.write( "\n" ); document.write( "Carlos's speed is 17mph. \r
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