document.write( "Question 89099: During rush hour, Fernando can drive 40 miles using the side roads in the same time that it takes to travel 30 miles on the freeway. If Fernando's rate on the side roads is 7 mi/h faster than his rate on the freeway, find his rate on the side roads. \n" ); document.write( "

Algebra.Com's Answer #64759 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
s = rate on sides roads
\n" ); document.write( "f = rate on freeway
\n" ); document.write( " $\"s+=+40%2Ft\"$ is his rate on side roads. We don't actually know what t is, but
\n" ); document.write( " $\"f+=+30%2Ft\"$ is his rate on the freeways and it's the same t, so the ratio
\n" ); document.write( " $\"%2840%2Ft%29+%2F+%2830%2Ft%29+=+4%2F3\"$ is the ratio os his rate on side roads to
\n" ); document.write( "his rate on freeways
\n" ); document.write( " $\"s%2Ff+=+4%2F3\"$
\n" ); document.write( "multiply both siides by $\"f\"$
\n" ); document.write( " $\"s+=+%284%2F3%29%2Af\"$
\n" ); document.write( "Also given is $\"s+=+f+%2B+7\"$
\n" ); document.write( " $\"%284%2F3%29%2Af+=+f+%2B+7\"$
\n" ); document.write( " $\"4f+=+3f+%2B+21\"$
\n" ); document.write( " $\"f+=+21\"$
\n" ); document.write( " $\"s+=+f+%2B+7\"$
\n" ); document.write( " $\"s+=+28\"$
\n" ); document.write( "Is the ratio true? $\"s%2Ff+=+4%2F3\"$
\n" ); document.write( " $\"28%2F21+=+4%2F3\"$ Yes
\n" ); document.write( "So, his rate on the side roads is 28 mph \n" ); document.write( "

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