document.write( "Question 793578: Lysa left camp on her bicycle at noon and rode at an average rate of 10 miles per hour. Morton left camp in his van at 1:30 P.M. and overtook Lysa in 30 minutes. At what average rate was he traveling in the van? \n" ); document.write( "

Algebra.Com's Answer #480405 by josmiceli(19441) $\"\"$ $\"About$

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Lysa's head start is
\n" ); document.write( " $\"+d%5B1%5D+=+10%2A1.5+\"$
\n" ); document.write( " $\"+d%5B1%5D+=+15+\"$
\n" ); document.write( "-------------
\n" ); document.write( "Start a stop watch when Morton leaves
\n" ); document.write( " $\"+.5+\"$ = time in hrs on stopwatch when
\n" ); document.write( "he catches Lysa
\n" ); document.write( "Let $\"+d+\"$ = distance Morton travels in time $\"+t+\"$
\n" ); document.write( "Let $\"+r+\"$ = Morton's rate in mi/hr
\n" ); document.write( "---------------
\n" ); document.write( "Morton's equation:
\n" ); document.write( "(1) $\"+d+=+r%2A%28.5%29+\"$
\n" ); document.write( "Lysa's equation:
\n" ); document.write( "(2) $\"+d+-+15+=+10%2A%28.5%29+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "(2) $\"+d+=+5+%2B+15+\"$
\n" ); document.write( "(2) $\"+d+=+20+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+20+=+.5r+\"$
\n" ); document.write( "(1) $\"+r+=+20%2F.5+\"$
\n" ); document.write( "(1) $\"+r+=+40+\"$
\n" ); document.write( "His rate was 40 mi/hr\r
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