document.write( "Question 897070: Darren drives to school in rush hour traffic and averages 32mph. He returns home in mid-afternoon when there is less traffic and averages 48mph. What is the distance between his home and school if the total traveling time is 1hr and 15min? \n" ); document.write( "

Algebra.Com's Answer #543948 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+t+\"$ = time in hrs to get from home to school
\n" ); document.write( "Let $\"+d+\"$ = distance from home to school
\n" ); document.write( "-----------------
\n" ); document.write( "Home to school equation:
\n" ); document.write( "(1) $\"+d+=+32t+\"$
\n" ); document.write( "School to home equation:
\n" ); document.write( "(2) $\"+d+=+48%2A%28+1.25+-+t+%29+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+32t+=+60+-+48t+\"$
\n" ); document.write( "(2) $\"+80t+=+60+\"$
\n" ); document.write( "(2) $\"+t+=+3%2F4+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+32t+\"$
\n" ); document.write( "(1) $\"+d+=+32%2A%283%2F4%29+\"$
\n" ); document.write( "(1) $\"+d+=+24+\"$
\n" ); document.write( "The distance between his home and school is
\n" ); document.write( "24 miles
\n" ); document.write( "-------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+d+=+48%2A%28+1.25+-+t+%29+\"$
\n" ); document.write( "(2) $\"+24+=+48%2A%28+1.25+-+.75+%29+\"$
\n" ); document.write( "(2) $\"+24+=+48%2A%28+1%2F2+%29+\"$
\n" ); document.write( "(2) $\"+24+=+24+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );