document.write( "Question 310791: Jane rides her bike to the lake. Going to the lake, she averages 12mph. On the return trip,she averages 10mph. If the round trip takes a total of 5.5 hours, how long does the return trip take? \n" ); document.write( "

Algebra.Com's Answer #222271 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Going to lake:
\n" ); document.write( " $\"d+=+r%5B1%5D%2At%5B1%5D\"$
\n" ); document.write( "Returning from lake:
\n" ); document.write( " $\"d+=+r%5B2%5D%2At%5B2%5D\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"r%5B1%5D+=+12\"$ mi/hr
\n" ); document.write( " $\"r%5B2%5D+=+10\"$ mi/hr
\n" ); document.write( " $\"t%5B1%5D+%2B+t%5B2%5D+=+5.5\"$ hrs
\n" ); document.write( "--------------------
\n" ); document.write( "Going to lake:
\n" ); document.write( " $\"d+=+12%2At%5B1%5D\"$
\n" ); document.write( "Returning:
\n" ); document.write( " $\"d+=+10%2A%285.5+-+t%5B1%5D%29\"$
\n" ); document.write( "I can set the right sides equal to eachother
\n" ); document.write( " $\"12t%5B1%5D+=+55+-+10t%5B1%5D\"$
\n" ); document.write( " $\"22t%5B1%5D+=+55\"$
\n" ); document.write( " $\"t%5B1%5D+=+2.5\"$ hrs
\n" ); document.write( " $\"t%5B2%5D+=+5.5+-+2.5\"$ hrs
\n" ); document.write( " $\"t%5B2%5D+=+3\"$ hrs
\n" ); document.write( "The return trip takes 3 hrs \n" ); document.write( "

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