document.write( "Question 514903: Jerry spent 2.5 hr. biking up Mount Lowe, rested at the top for 30 min, and biked down 1.5 hr. How far did he bike if his rate od ascent was 3 km/hr less than his rate of descent? \n" ); document.write( "

Algebra.Com's Answer #343611 by josmiceli(19441) $\"\"$ $\"About$

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Going up:
\n" ); document.write( " $\"+d+=+r%2A2.5+\"$
\n" ); document.write( "going down:
\n" ); document.write( " $\"+d+=+%28+r+%2B+3+%29%2A1.5+\"$
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+2.5r+=+%28+r+%2B+3+%29%2A1.5+\"$
\n" ); document.write( " $\"+2.5r+=+1.5r+%2B+4.5+\"$
\n" ); document.write( " $\"+r+=+4.5+\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"+d+=+2.5%2A4.5+\"$
\n" ); document.write( " $\"+d+=+11.25+\"$
\n" ); document.write( "check:
\n" ); document.write( " $\"+d+=+%28+r+%2B+3+%29%2A1.5+\"$
\n" ); document.write( " $\"+d+=+7.5%2A1.5+\"$
\n" ); document.write( " $\"+d+=+11.25+\"$
\n" ); document.write( "He biked $\"2d\"$ ascending and descending
\n" ); document.write( "or 22.5 km \n" ); document.write( "

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