document.write( "Question 961399: Jana ran the first 3 1/2 of a 5-mile race in 1/3. What is her average rate in miles per hour for the first part of the race and how do I solve the problem??
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Algebra.Com's Answer #587484 by josmiceli(19441) $\"\"$ $\"About$

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[ distance ] = [ rate ] x [ time ]
\n" ); document.write( " $\"+d+=+r%2At+\"$
\n" ); document.write( "Divide both sides by $\"+t+\"$
\n" ); document.write( " $\"+r+=+d+%2F+t+\"$
\n" ); document.write( "---------------
\n" ); document.write( "given:
\n" ); document.write( " $\"+d+=+3+%2B+1%2F2+\"$
\n" ); document.write( " $\"+t+=+1%2F3+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "Note that:
\n" ); document.write( " $\"+%28+2d+%29+%2F+%28+2t+%29+=+d%2Ft+\"$ ,
\n" ); document.write( "so, I can say:
\n" ); document.write( " $\"+r+=+7+%2F+%28+2%2F3+%29+\"$
\n" ); document.write( "Multiply the top and bottom of this fraction by $\"+3+\"$
\n" ); document.write( " $\"+%28+3%2A7+%29+%2F+2+=+21%2F2+\"$
\n" ); document.write( " $\"+21%2F2+=+10+%2B+1%2F2+\"$
\n" ); document.write( "The first part of the race was run at a rate of:
\n" ); document.write( "10 and 1/2 miles/hour
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