document.write( "Question 992951: How far can a person drive into the country at the average rate of 30MPH and return over the same road at the average rate of 20 MPH if the person travels a total of 5 hours? \n" ); document.write( "

Algebra.Com's Answer #612426 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+t+\"$ = time in hrs for 1st part of trip
\n" ); document.write( "(1) $\"+d+=+30t+\"$
\n" ); document.write( "(2) $\"+d+=+20%2A%28+5+-+t+%29+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+30t+=+20%2A%28+5-t+%29+\"$
\n" ); document.write( "(2) $\"+30t+=+100+-+20t+\"$
\n" ); document.write( "(2) $\"+50t+=+100+\"$
\n" ); document.write( "(2) $\"+t+=+2+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+30%2A2+\"$
\n" ); document.write( "(1) $\"+d+=+60+\"$
\n" ); document.write( "The person can drive 60 mi into country
\n" ); document.write( "------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+d+=+20%2A%28+5+-2+%29+\"$
\n" ); document.write( "(2) $\"+d+=+20%2A3+\"$
\n" ); document.write( "(2) $\"+d+=+60+\"$
\n" ); document.write( "OK \n" ); document.write( "

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