document.write( "Question 251749: May rides her bike the same distance that Leah walks. May rides here bike 10km/h faster than Leah walks. If it takes May 1 h and Leah 3 hrs how fast does each travel \n" ); document.write( "

Algebra.Com's Answer #183496 by josmiceli(19441) $\"\"$ $\"About$

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Let the distance traveled by each = $\"d\"$ mi
\n" ); document.write( "Let Leah's walking rate = $\"r\"$ mi/hr
\n" ); document.write( "given:
\n" ); document.write( "for May:
\n" ); document.write( " $\"t%5BM%5D+=+1\"$ hr
\n" ); document.write( " $\"d+=+%28r+%2B+10%29%2At%5BM%5D\"$
\n" ); document.write( " $\"d+=+%28r+%2B+10%29%2A1\"$
\n" ); document.write( "for Leah:
\n" ); document.write( " $\"t%5BL%5D+=+3\"$ hrs
\n" ); document.write( " $\"d+=+r%2At%5BL%5D\"$
\n" ); document.write( " $\"d+=+r%2A3\"$
\n" ); document.write( "-----------
\n" ); document.write( "They travel the same distance, so the $\"d\"$ 's are equal
\n" ); document.write( " $\"r+%2B+10+=+3r\"$
\n" ); document.write( " $\"2r+=+10\"$
\n" ); document.write( " $\"r+=+5\"$ mi/hr
\n" ); document.write( "and
\n" ); document.write( " $\"r+%2B+10+=+15\"$
\n" ); document.write( "May's speed is 15 mi/hr and Leah's speed is 5 mi/hr
\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "

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