document.write( "Question 660269: A person drives 300 miles, usually at 55 mph but an accident slows her down to 15 mph. if her trip took 6 hours, how many miles did she drive at the reduced speed? \n" ); document.write( "

Algebra.Com's Answer #411102 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+t+\"$ = time spent driving at 15 mi/hr
\n" ); document.write( " $\"+6+-+t+\"$ = time spent driving at 55 mi/hr
\n" ); document.write( "Let $\"+d+\"$ = distance driven at 15 mi/hr
\n" ); document.write( " $\"+300+-+d+\"$ = distance driven at 55 mi/hr
\n" ); document.write( "--------
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+d+=+15t+\"$
\n" ); document.write( "(2) $\"+300+-+d+=+55%2A%28+6+-+t+%29+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+300+-+15t+=+55%2A%28+6+-+t+%29+\"$
\n" ); document.write( "(2) $\"+300+-+15t+=+330+-+55t+\"$
\n" ); document.write( "(2) $\"+55t+-+15t+=+330+-+300+\"$
\n" ); document.write( "(2) $\"+40t+=+30+\"$
\n" ); document.write( "(2) $\"+t+=+3%2F4+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+15t+\"$
\n" ); document.write( "(1) $\"+d+=+15%2A%283%2F4%29+\"$
\n" ); document.write( "(1) $\"+d+=+45%2F4+\"$
\n" ); document.write( "(1) $\"+d+=+11.25+\"$
\n" ); document.write( "She drove 11.25 mi at 15 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+300+-+d+=+55%2A%28+6+-+t+%29+\"$
\n" ); document.write( "(2) $\"+300+-+11.25+=+55%2A%28+6+-+t+%29+\"$
\n" ); document.write( "(2) $\"+288.75+=+55%2A%28+6+-+t+%29+\"$
\n" ); document.write( "(2) $\"+288.75+=+330+-+55t+\"$
\n" ); document.write( "(2) $\"+55t+=+330+-+288.75+\"$
\n" ); document.write( "(2) $\"+55t+=+41.25+\"$
\n" ); document.write( "(2) $\"+t+=+.75+\"$
\n" ); document.write( "(2) $\"+t+=+3%2F4+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );